Gold-198 has a half-life of 2.7 days. Complete the table for an initial sample size of 200 grams

Answers

Answer 1

25.1 grams are still present after 8.1 days. When the Gold-198 has a half-life of 2.7 days.

What is radioactivity?

The act of producing radiation spontaneously is known as radioactivity. This is accomplished by an unstable atomic nucleus that wants to give up some energy in order to move to a more stable form.

The half-life of the gold  =2.7 days

Sample size  = 200 grams

N is the left amount after the given time =?

Constant of rate = 0.26

The rate constant is found as;

[tex]\rm \lambda = \frac{0.693}{t^{\frac{1}{2}}} \\\\ \lambda = 0.256 \ days^{-1}[/tex]

The amount after the given time;

[tex]\rm N=N_0 \times e^{-\lambda t} \\\\\ N = 200 \times e^{-0.256 \times 8.1 \ days} \\\\N=25.1 \ gm[/tex]

Hence,25.1 grams are still present after 8.1 days.

To learn more about the radioactivity, refer  to the link;

https://brainly.com/question/1770619

#SPJ1


Related Questions

Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects
reach the same height what is the ratio of their velocities Va and Vb

A). 3:1
B). 2:1
C). 1:1
D). 2:1

Answers

If both objects reach the same height, the ratio of their velocities Va and Vb is 3:1. The correct option is A.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.

Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects reach the same height.

The maximum height of the objects A and B are same, so

H = Va² sin²30 / 2g =  Vb² sin²60 / 2g

Va²/Vb² = sin²60/ sin²30

Va/Vb = 3:1

Thus, the correct option is A.

Learn more about projectile.

brainly.com/question/11422992

#SPJ1

One exciting fairground ride acts like a giant catapult. The capsule which the ‘rider’ is strapped in is fired high into the sky by rubber straps. Explain the energy changes taking place on the ride.

Answers

Answer:

- elastic energy of rubber straps → KE of capsule 

- KE → GPE as capsule

Explanation:

Where does the halo of a galaxy expand from?

a. the local group out to the dark matter

b. the bulge out to the edge of the disk

c. the irregular cluster out to the regular cluster

d. the edge of the disk out to the bulge

Answers

The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.

What is universe?

Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.

It went on expanding and stretched to grow as large as possible. It is still now expanding.

The universe consist of fully dark matter, interstellar gases or dust. The  This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.

The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.

Thus, the correct option is b.

Learn more about universe.

https://brainly.com/question/9724831

#SPJ1

which will have longer shadow: ben whose height is 5 feet tall and 2 inches or his brother mike who is 6 feet and 2 inches when they both stand under the sun around 10am? i need help asap and anyone get my answer now i will give branliest

Answers

Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.

as resistors are added in series​

Answers

Answer:

decrease,inverse

Explanation:

........................

What is the magnetic field due to a very very long wire with current A at a perpendicular distance 0.30000000000000004 m away from the wire

Answers

The magnetic field due to a  very long wire with current A is 6.67 x 10⁻⁷ A (Tesla).

What is magnetic field?

This is the region of space where the effect of magnetic force is felt.

The magnetic field due to a current carrying conductor is calculated as;

B = μI/2πd

where;

μ is permeability of free space = 4π x 10⁻⁷ Tm/AI is current in the conductord is the distance of field from the wire

at a distance of 0.3 m

B = μI/2π(0.3)

B = 0.53μI

B = 0.53 x (4π x 10⁻⁷)I

B = 6.67 x 10⁻⁷ A (Tesla)

Learn more about magnetic field here: https://brainly.com/question/7802337

#SPJ1

Cancer and diabetes are two common hereditary diseases.

Answers

It is a true statement that cancer and diabetes are two common hereditary diseases.

What are hereditary diseases?

The term hereditary diseases are those diseases that occur in parents and could also be found in their offspring. For many of these hereditary diseases, the mechanism of inheritance is unclear.

However, it is a true statement that cancer and diabetes are two common hereditary diseases.

Missing parts:

Cancer and diabetes are two common hereditary diseases. A. True B. False.

Learn more about hereditary diseases:https://brainly.com/question/9367480?r

#SPJ1

how does the law of the conservation of energy relate to the first law of thermodynamics?

Answers

The first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.

What is the first law of thermodynamics?

The first law of thermodynamics is a popular law in physics that states change in internal energy is equal to the energy added and the work made by a closed system.

Moreover, the law of conservation of energy states that it cannot be created/destroyed in the Universe, which is deeply associated with principles of thermodynamics.

In conclusion, the first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.

Learn more about the first law of thermodynamics here:

https://brainly.com/question/1613201

#SPJ1

The law of the conservation of energy relates to the first law of thermodynamics by the fact that the former forms the basis for the latter.

What is the relationship between the law of conservation of energy and the 1st law of thermodynamics?

It follows from the study of physics that the basis for the postulation of the First law of thermodynamics is on the basis of the law of conservation of energy, which states that energy can neither be created nor destroyed, but can be transferred between forms.

Read more on law of conservation of energy;

https://brainly.com/question/166559

#SPJ11


How many groups are in the modern periodic table?

Answers

Answer:

18 groups are in the modern periodic table

Answer:

There's 18 groups I'm pretty sure

If the slowest instruction in the SCA executes in 12.5 ns, then what is maximum system clock frequency in MHz

Answers

Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz

To answer the question, we need to know what frequency is.

What is frequency?

Frequency is the number of oscillations per second of a wave.

It is given by f = 1/T where T = period of wave

Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.

What is the maximum system clock frequency?

So, f = 1/t

= 1/12.5 ns

= 1/(12.5 × 10⁻⁹ s)

= 1/12.5 × 10⁹ Hz

= 0.08 × 10⁹ Hz

= 80 × 10⁻³ × 10⁹ Hz

= 80 × 10⁶ Hz

= 80 MHz

So, the maximum system clock frequency is 80 MHz

Learn more about maximum system clock frequency here:

https://brainly.com/question/14636488

#SPJ11

Which bronchus is about 5cm long and slightly narrower and more horizontal than the one on the opposite side

Answers

The bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

What is a bronchus?

A bronchus is a tubular structure that links the trachea with the lungs in the respiratory airways.

The main function of the bronchus is to transport oxygen during gas exchange, which is required in cellular respiration.

In conclusion, the bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.

Learn more about the bronchi here:

https://brainly.com/question/817962

#SPJ1

A car accelerates from 0-26.8m/s in 2.2s. What is its average acceleration?

Answers

Answer:

Average acceleration = 12m/s^2

Explanation:

Acceleration is equal to the change in velocity over the change in time:

[tex]a=\frac{\Delta v}{\Delta t}[/tex]

Change in velocity is the final velocity minus the initial.

We are told the car goes from 0 to 26.8 m/s making 26.8 our final and 1 our initial. Therefore the change in velocity is 26.8-0 = 26.8m/s. ([tex]\Delta v[/tex])

And that this happens over 2.2s so this is our change in time: [tex]\Delta t[/tex]

Therefore our acceleration is: [tex]a = \frac{26.8}{2.2}[/tex]

Acceleration = 12.18 m/s^2

Rounded to 2 significant figures (2s.g. in 2.2s), the answer is 12m/s^2.

Hope this helped!

6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?

Answers

Answer:

Joy has a greater acceleration.

Explanation:

Mike

v = v₀ + at

10 = 0 + 4a

a = 2.5 m/s²

Joy

v = v₀ + at

15 = 0 + 5a

a = 3 m/s²

--

Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².

im
Complete the sentence to describe what a wave is and what it does.

A wave is a
that carries
from one place to another.

Answers

A wave is a ( DISTURBANCE) that carries (ENERGY) from one place to another.

Hope this helps.

Good luck ✅.

An empty container has a mass of 62.000 grams. You fill it with 24.6 mL of a liquid. The final mass of the container is 81.34 grams. What is the density of the liquid to the correct number of significant figures?

Answers

density = mass / volume

mass = 81.34 - 62

= 19.34 g

volume = 24.6 ml

density = 0.786 g/ml

can you please help me with this

Answers

Answer:

1.76 seconds/cycle

Explanation:

Frequency is   10 cycles / 17.6 seconds

PERIOD is  1/frequency = 17.6 seconds/10 cycles = 1.76 s/c    

          cycle is a vibration , so the unit may be  1.76 second / vibration

A compound microscope that has an eyepiece lens with a magnification of 10X and an objective lens with a magnification of 25X will have a total magnification of __________ times.

Answers

Answer:

35

Explanation:

total magnification = eyepiece lens x objective lens

TM = 10X x 25X

TM = 250X

One point charge has a magnitude 5.4x10-7 C. A second charge 0.25 meters away has a magnitude of 1.1x10-17 C. What is the electric force magnitude of one charge on the other?

Answers

The electric force on the charges will be equal and opposite in nature and the magnitude will be 8.5536 × 10⁻¹³ Newton.

Formula for electrostatic force is F = ( K q1 q2 )/ r²

where q1 and q2 represent the charges and r represents the distance between them and the value of K is 9 × 10⁹.

In question we have given

value of q1 = 5.4 x 10⁻⁷ C

value of q2 = 1.1 x 10⁻¹⁷ C

distance between the (r) = 0.25 m

Applying the formula

F = ( K x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 10⁹ ) x (5.4 x 10-7) x (1.1x10-17) )/ 0.25²

F = ( (9 × 5.4 × 1.1) × ( 10⁹ × 10⁻⁷ x 10⁻¹⁷) )/ ( 6.25 × 10⁻² )

F = ( 53.46 × 10⁻¹⁵) / ( 6.25 × 10⁻² )

F = 8.5536 × 10⁻¹³ Newton

Electrostatic force = 8.5536 × 10⁻¹³ Newton

So, The point charges are possessing equal and opposite electrostatic force of magnitude 8.5536 × 10⁻¹³ Newton.

Learn more about Electrostatic Force here:

https://brainly.com/question/23121845

#SPJ10

Derive that efficiency is the ratio of output and input work.​

Answers

Answer:

The efficiency of a simple machine is defined as the ratio of useful work done by a machine (output work) to the total work put into the machine (input work). For ideal or perfect machine, work output is equal to the work input.

Explanation:

Hope it Helps!!!

What is the resultant of the two vectors shown?

Answers

Explanation:

The correct is (c). cuz, the tail of A and the tip of B will join

Question 10 of 25
Which of these is an advantage of hydroelectric energy?
OA. Is expensive to build or maintain
OB. Harms aquatic organisms
OC. Is a renewable energy source
OD. Is available in limited areas
SU

Answers

The main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).

What is hydroelectric energy?

Hydroelectric energy refers to the energy from water bodies that can be used to generate electricity.

Hydroelectric energy is stored as potential energy and then converted to kinetic motion energy to be converted into electricity.

Hydroelectric energy is renewable because it is indefinitely generated by water bodies in nature.

In conclusion, the main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).

Learn more about hydroelectric energy here:

https://brainly.com/question/3077353

#SPJ1

Describe how a star is formed?
____________________________

Answers

a more in depth description:
as gasses like hydrogen start to gather, it creates more mass, therefore more gravitational attraction. As the gasses start to collect to considerably large amounts, the gas at the center of the mass starts to compress. As the gas keeps growing, the immense pressure on the core grows and grows, raising the temperature to extreme amounts. As this happens the star starts to undergo a process called nuclear fusion. this process occurs when immense pressure and heat cause the electrons to escape from their nuclei and flow around freely. this is what the fourth state of matter is. this type of matter is called plasma. this alone creates incredible amounts of heat and energy. The main part of the fusion process though is that the nuclei in which the electrons escaped from begin to merge, creating heavier nuclei, therefore creating heavier and denser nuclei. as the nuclei combine they also form denser elements, such as helium (fist merge of nuclei) all the way to eventually iron (last merge before nuclei is at its heaviest. This entire process takes billions of years to go from helium to the extremely dense iron, and stars usually only reach iron if they are big enough (a lot larger than our sun) so that the pressure will be able to keep fusing nuclei. if they dont reach iron, at the end of their life, the fuel from the inside will be used up and the core has to compensate for the gravitational force of the outer star pushing in. this means the star will grow as the outward force becomes greater than the gravitational force. the star will stay like this for a while before finally using up all the fuel and slowly dying off and shrinking. the shrinking star (or dying star) is known as a white dwarf

that is the long answer

Answer:

Star Formation

Stars are born within the clouds of dust and scattered throughout most galaxies. A familiar example of such as a dust cloud is the Orion Nebula. Turbulence deep within these clouds gives rise to knots with sufficient mass that the gas and dust can begin to collapse under its own gravitational attraction.

hy XD ~

Voltage is another name for the
difference. what word completes the sentence?

Answers

Voltage is another name for the “potential” difference.
Explanation:Voltage is defined as, “an electromotive force or potential difference expressed in volts.”

Question 8 of 10
Calculate the electric potential energy in a capacitor that stores 1.0 x 10-10 C
of charge at 100.0 V. Use PE =
2

Answers

The electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.

What is a capacitor?

A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.

An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.

The  electric potential energy in a capacitor is found as;

[tex]\rm E = \frac{1}{2} QV[/tex]

[tex]\rm E = \frac{1}{2}\times 1.0 \times 10^{-10} \ C \times 100 \ V \\\\ E= 5 \times 10^{-9} \ J[/tex]

Hence the electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.

To learn more about the capacitor, refer to the link: https://brainly.com/question/14048432.

#SPJ1

A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.

Answers

Answer:

V initial = 29.4 m.s²

Explanation:

( Using the laws of motion)

V final = V initial + Acceleration × time

0 = V initial + ( -9.8)(3)

29.4 = V initial

* I took upward as positive that's why I substituted -9.8 *

* for V final we know that at maximum height the ball is not moving thats why is = 0 *

The world record for pole vaulting is 6.15 m. If the pole vaulter’s gravitational potential is 4942 J, what is his mass?

Answers

From the calculations, the mass of the pole is 82 Kg.

What is potential energy?

The term potential energy has to do with the energy that is possessed  by a body by virtue of its position.

Given that;

height = 6.15 m

PE = 4942 J

mass = ??

g = 9.8 m/s^2

Now

PE = mgh

m = PE/gh

m =  4942 J/9.8 m/s^2 * 6.15 m

m = 82 Kg

Learn more about potential energy:https://brainly.com/question/24284560?

#SPJ1

A racing car has a mass of 1910 kg. The acceleration of gravity is 9. 8 m/s 2. What is its kinetic energy if it has a speed of 109 km/h? answer in units of j.

Answers

KE = 0.5 x m x v²
Steps:
= 0.5 x 1910 x 9.8²
= 0.5 x 1910 x 96.04
= 91718.2

If you double the current through a resistor, by what factor does the power dissipated by the resistor change?.

Answers

If you double the current through a resistor, the power dissipated by the resistor change by factor of 4.

What is electric current?

The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.

Power dissipated through a resistor is related to current as

P  =I²R

When the current is doubled, the new power will be

P' = (2I)²R

P' = 4 I²R

P' = 4P

Thus, the power change by the factor of 4.

Learn more about electric current.

https://brainly.com/question/2264542

#SPJ1

A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin

Answers

The elapsed time when the particle returns to the origin is determined from the ratio of initial velocity and acceleration of the particle.

Time of motion of the particle

The time of motion of the particle is calculated by applying Newton's second law of motion.

F = ma

F = m(v)/t

where;

t is time of motion of the particlem is mass of the particlev is velocity of the particle

a = v - u/t

v = u + at

when the particle returns to the origin, direction of u, = negative.

final velocity = 0

0 = -u + at

at = u

t = u/a

Learn more about force here: https://brainly.com/question/12970081

#SPJ11

In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with a speed of 0.8 m/s at an angle of 20°, as shown in the diagram below. Both balls have a mass of 0.6 kg.

PICTURE

a. What is the momentum of the system before the collision? (Write it in component form.) (0.5 points)
b. What is the momentum of the system after the collision? (0.5 points)
c. Write the velocity of the cue ball after the collision in component form. (1 point)
d. What is the x-component of the velocity of the eight ball after the collision? (1 point)
e. What is the y-component of the velocity of the eight ball after the collision? (1 point)
f. At what angle does the eight ball travel after the collision? (1 point)
g. What is the magnitude of the eight ball's velocity after the collision? (1 point)

Answers

a)  p₀ = 1.2 kg m / s

b) p_f = 1.2 kg m / s  

c)    [tex]v_{2f}[/tex] = 1.278 m/s

d)1.2482 =[tex]v_{2f}[/tex] cos θ

e)  0.2736 =[tex]v_{2f}[/tex]sin θ

g) θ = 12.36

What is momentum?

Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.

According to the question,

We define a system formed by the two balls, which are isolated and the forces during the collision are internal.

Hence , the momentum is conserved

a) The momentum of the system before the collision:

[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]

b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so

[tex]p_f = 1.2 kg m / s[/tex]

d. On X axis

[tex]p_ox[/tex] = 1.2 kg m / s

[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ

[tex]p_o = p_f[/tex]

1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ

1.2482 =[tex]v_{2f}[/tex] cos θ

e. On Y axis  

[tex]p_{oy} = 0[/tex]

[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ

0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ

0.2736 =[tex]v_{2f}[/tex]sin θ

Here,

g. we write our system of equations

0.2736 =[tex]v_{2f}[/tex] sin θ

1.2482 = [tex]v_{2f}[/tex] cos θ

0.219 = tan θ (divide)

θ = tan⁻¹ 0.21919

θ = 12.36

c. Now To find the velocity

0.2736 = [tex]v_{2f}[/tex] sin θ

[tex]v_{2f}[/tex]= 0.2736 / sin 12.36

[tex]v_{2f}[/tex] = 1.278 m / s

Learn more about momentum here:

https://brainly.com/question/4956182

#SPJ1

Other Questions
Which expression is modeled by this arrangement of tiles?40 positive tiles are broken up into 10 groups of 4 positive tiles. can someone please help me(20 points and I will give brainliest!!!) Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics?A. ThalesB. PythagorasC. EuclidD. Hippocrates In this excerpt, Muir compares a Calaveras tree to George Washington. The purpose of this comparison is to appeal to readerslogos and reason.ethos and credibility.pathos and ethos.logos and pathos.. Given the following equation, how many grams of PbCO3 will dissolve when 2.50 L of 1.50 M H+ is added to 3.00 g of PbCO3?Given PbCO3(s) + 2H+(aq) = Pb^2(aq)+ +H2O (l)+ CO2(g) Given lJK , which is an isosceles right triangle, IJ=4 and m a short note on the rise of Mali empire Choose the empire united by a common religion and a common language. This empire faced a threat from an internal faction called the Yellow Turbans. Which type of policy combines the flexibility? As the writer, you will add to the book you read in this unit by creating a parallel plot that shows the story from another character's perspective. You will reimagine the story from a new perspective. Over the course of this lesson, you will complete the Reimagine Narrative Planner to help you plan your parallel plot.For example, an appropriate addition to Little Brother would be retelling a portion of the story from the point of view of a DHS officer. If you select this option, you will not retell the whole story; your final piece of writing will focus on one main aspect of the story from beginning to end in no more than three typed pages.Your work will be evaluated using the Reimagine Narrative Planner Rubric. Please use this as a guide as you complete the lesson. NEED ASAP !!!!!Which table represents a linear function? How did the Mexican War affect American politics? find the value of the hypotenuse for each of the following right triangles. Nigel and lea are adolescents. Which behavior identifies a way they might create conflict at home? ad the excerpt from Animal Farmthe long pasture, not far from the farm buildings,ere was a small knoll which was the highest point one farm. After surveying the ground, Snowball declaredat this was just the place for a windmill, which coulde made to operate a dynamo and supply the farm withlectrical power. This would light the stalls and warm.nem in winter, and would also run a circular saw, achaff-cutter, a mangel-slicer, and an electric milkingmachine. The animals had never heard of anything ofthis kind before (for the farm was an old-fashioned oneand had only the most primitive machinery), and theylistened in astonishment while Snowball conjured uppictures of fantastic machines which would do theirwork for them while they grazed at their ease in thefields or improved their minds with reading andAccording to this passage, how would the elecproduced by the windmill most affect the anin-Select two options.They would not have to learn about farmingThey would have a beautiful view atop theThey would have machines laboring for therThey would not have to walk as far to get toThey would have more leisure time to thems . All the students in SS3 of a named school take either Mathematics (M), or Physics (P) or Chemistry (C). 40 take Mathematics, 42 take physics, 38 take Chemistry, 20 take Mathematics and Physics, 28 take Physics and Chemistry while 25 take mathematics and chemistry.How many take(a) All the three subject:(b) Mathematics, but neither Physics nor Chemistry(c) Physics, but neither Mathematics nor Chemistry 5. (02.01 LC)Look at the image, and then choose the option to complete the sentence with the correct informal t command. (2 points)_______ el bal del carro.A. O AbraB. Abras C. abre D. abres Help please I need it asap and thank you A cat bites your hand while youre taking it out of its cage. What disease could you get and how could you prevent it? how are fruit and vegetable made available in the off season?