Cesium-137 has a half-life of 30.3 years.If you start with 60g, how much cesium would be left over 90.9 years?

Answers

Answer 1
Given:-

Half-life of Caesium-137 = 30.3 yearsInitial amount of Caesium-137,[tex]\sf N_o[/tex]= 60 g

To Find :-Amount of caesium left over 90.9 years

Solution:-

The amount of substance left after n half cycle of caesium is given by -

[tex]\green{ \underline { \boxed{ \sf{N_t= \frac{N_o}{2^n}}}}}[/tex]

where

[tex]\sf N_t = Amount \:left \:after \: n \:half \: cycles[/tex][tex]\sf N_o=Initial \:Amount \:of \: radioactive \: element \:[/tex][tex]\sf n= Number \: of \:half \:cycle [/tex]

[tex]\green{ \underline { \boxed{ \sf{Number \: of \: half \:cycle = \frac{Given\:Time \: period}{Period \: of \: half \:cycle}}}}}[/tex]

[tex]\begin{gathered}\\\implies\quad \sf Number \: of \: half \:cycle = \frac{90.9}{30.3}\\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf Number \: of \: half \:cycle = 3 \\\end{gathered} [/tex]

Now,

[tex]\begin{gathered}\\\implies\quad \sf N_t= \frac{N_o}{2^n} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf N_t= \frac{60}{2^3} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf N_t= \frac{\cancel{60}}{\cancel{8}} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf N_t= 12.5 g \\\end{gathered} [/tex]

Therefore, 12.5 gram of cesium would be left over 90.9 years.


Related Questions

Consider this reaction: NH4 HPO42− → NH3 H2PO4− Which is the Bronsted-Lowry acid ? NH4 HPO42- HPO42– H2PO4–.

Answers

Bronsted - Lowry acid in the given reaction is NH₄, as it gives H⁺ ion.

What is Bronsted - Lowry acid?

According to the theory of Bronsted - Lowry, acids are those substances which gives H⁺ ion or proton in the aqueous medium.

Given chemical reaction is :

NH₄ + HPO₄²⁻ → NH₃ + H₂PO₄⁻

In the above reaction NH₄ is the Bronsted - Lowry acid as it gives H⁺ ion in the reaction and changes to NH₃ which is the conjugate base of NH₄. Whereas HPO₄²⁻ is the  Bronsted - Lowry base as it accepts the H⁺ ion to form H₂PO₄⁻ which is the conjugate acid of it.

Hence, option (1) is correct, i.e. NH₄ is the Bronsted - Lowry acid.

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Answer:

NH₄

correct on ed 2022

According to Avogadro's law, what do equal volumes of ideal gases at
the same temperature and pressure contain?

Answers

Answer:

contain an equal number of molecules

Answer: equal volumes of different gases contain an equal number of molecules. 

Explanation:

What do we have to have to be able to determine the number of neutrons?

A. average atomic mass

B. mass number

Answers

Answer:

Answer is A :)

Explanation:

Answer:

B. Mass number

Explanation:

In order to gain the number of neutrons you need to subtract the Protons from the atomic mass (also known as the mass number or nucleon number.

For example :

Carbon - protons= 6

Nucleons=12

Therefore carbons neutrons = 6

what are the limitations of Doppler effect?

Answers

Answer: Limitations of the Doppler Effect include,

The Doppler effect is applicable when the velocities of the source of sound and observer are much less than the velocity of sound.The motion of both the observer and the source is along the same straight line.

Hope this helps!

Answer:

Velocity of source of sound must be less than that of the Velocity of sound

Explanation:

learned it from science

Spectroscope, PLS help pls I'LL GIVE BRAINLIEST

Answers

Answer:

I don't know what the correct answer is

Explanation:

Explain what happens to the particles in a substance during a physical change.

Answers

The particals in a physical change alwayd stay the same, but for a chemical change that is the only time they will change. Not during a physical change

Answer:

The particals in a physical change alwayd stay the same, but for a chemical change that is the only time they will change. Not during a physical change

Explanation:

How are the environments of a desert and a tundra different?

A tundra is at a higher latitude than a desert.
A tundra is less humid than a desert.
A tundra is much warmer than a desert.
A tundra receives less precipitation than a desert.

Answers

Answer:

A tundra is less humid than a desert

Explanation:


A tundra is less humid than a desert.

A 2.0 mol sample of CO(g) and a 2.0 mol sample of H2O(g) are introduced into a previously evacuated 100. L rigid container, and the temperature is held constant as the reaction represented above reaches equilibrium.
CO(g) + H2O (g) CO2(g) + H2(g) Kc = 1.5 x 10^3
Which of the following is true at equilibrium?

Answers

For the chemical reaction CO(g) + H2O (g) >>CO2(g) + H2(g) at Kc = 1.5 x 10^3 the solve to discover

CO2= 1.94>>CO= 0.06 is True about the reaction

What is true about the reaction?

Generally, the equation for the Chemical Reaction  is mathematically given as

CO(g) + H2O (g) >>>CO2(g) + H2(g)

Therefore

Kc = x .x / ( 2 - x ).(2 - x)

Kc= 1.5 x 103

Kc= x2 / (2-x)2

Where

Kc = 1.5 x 103

x=1.94

In conclusion,

[CO] = [H2O]

CO= 2 - 1.94

CO= 0.06

[CO2] = [H2]

CO2= x

CO2= 1.94

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Does q for the formation of 1 mol of no from its elements differ from q for the decomposition of 1 mol of no to its elements and what is the relationship between the two qs?.

Answers

Answer:

Yes, the Qs for the two reactions are reciprocal.

Explanation:

No, the Qs are the same.

What are decomposition and examples?

Decomposition reactions are processes in which chemical species break up into simpler parts. Usually, decomposition reactions require energy input. For example, a common method of producing oxygen gas in the laboratory is the decomposition of potassium chlorate (KClO3) by heat.

How do elements decompose?

When bonds in a single chemical compound are broken, it results in it breaking apart to form two or more products. When this happens, it is known as chemical decomposition and it takes place as a chemical reaction.

Learn more about decomposition here: brainly.com/question/27300160

#SPJ2

Write a few sentences about respiration in your own words

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Answer:

Is production of energy

LGBTQ
any friends out there for me?

Answers

Answer:

ill be your friend

Explanation:

im apart of the lgbtq+ community im bi

Answer:

Sure! I'm born female and I'm pan

Explanation:

Why is it more comfortable to exercise on a day when the relative humidity is low?

Answers

Sweat evaporates quickly at low relative humidity, the amount of water vapor in the atmosphere, so it makes the body feel cooler. If the humidity is high that means there is a lot of water vapor in the air and thus the sweat cannot evaporate and forms pools on our skin making us feel uncomfortable.

Hope that helps!

Nitrogen gas at 20. °C in a balloon has a volume of 3. 0 L and pressure of 1. 5 atm. If the temperature of the balloon is increased to 30. °C and the pressure to 2. 5 atm, what is the new volume of the balloon? Use the formula: P1V1 T1 = P2V2 T2 Temperature Conversion: °C 273 K.

Answers

Answer: 1.9L

Explanation: I got you

1. How many ATONS of oxygen are present in 8.18 grams of dioxygen difluoride ?
atoms of oxygen.

Answers

1.409x10^23 atoms
there are .117 moles of O2F2. There are .234 moles of oxygen. .234x6.022x10^23=1.409x10^23atoms

What is the fluoride ion concentration for a saturated solution of BaF 2 if the K sp for BaF 2 is 1.8 × 10 -7 ?

Answers

[tex]\\ \rm\rightarrowtail BaF_2\longrightarrow Ba^{2+}+2F-[/tex]

BaF_2 be xBa2+ is also xF- is 2x

Now

[tex]\\ \rm\Rrightarrow K_{sp}=[Ba^2+][F-]^2[/tex]

[tex]\\ \rm\Rrightarrow 1.8\times 10^{-7}=x(2x)^2[/tex]

[tex]\\ \rm\Rrightarrow 4x^3=1.8\times 10^{-7}[/tex]

[tex]\\ \rm\Rrightarrow x^3=0.45\times 10^{-7}[/tex]

[tex]\\ \rm\Rrightarrow x=\sqrt[3]{0.000000045}[/tex]

[tex]\\ \rm\Rrightarrow x=0.00376M[/tex]

[tex]\\ \rm\Rrightarrow x=3.8\times 10^{-3}M[/tex]

So

[tex]\\ \rm\Rrightarrow [F-]=2x=7.6\times 10^{-3}M[/tex]

Write the IUPAC nomenclature for the following a. Al2 (CO3)3

Answers

Answer:

Aluminum carbonate | Al2(CO3)3 - PubChem

Explanation:

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1) according to the kinetic molecular theory of gases, a gas can be compressed much more than a liquid or solid because gas particles do not attract or repel one another b) the particles of a gas are very far apart. c) gas particles move faster when the temperature increases. d) gas particles move rapidly. in) a gas is composed of very small particles.

Answers

Answer:

option (b)

Explanation:

A gases can be compressed much more than a solid or liquid because the particles of a gas are very far apart

What do scientists call the type of rocket in which part of the rocket is dropped off after fuel has been used?

A. multistage rocket
B. segmented rocket
C. break away rocket
D. high velocity rocket

Answers

Answer:

Multistage rockets

Explanation:

Multistage is a launch vehicle that uses two or more rocket stages, each of which contains its own engines and propellant.

What is the volume of 1. 5 moles of oxygen gas at standard temperature and pressure (STP)? 22 L 34 L 58 L 71 L.

Answers

Volume is the quantity of area occupied by any substance in a system and is measured in litres. The volume of oxygen at STP will be 34 L.

What is STP?

STP is the standard temperature and pressure of the substance that is used for the calculation of the gases for the comparison.

The moles of oxygen given is 1.5 moles and as we know that 1 mole of gas at STP has 22.4 L of volume then the volume of 1.5 moles containing oxygen will be,

[tex]1.5 \times 22.4 = 33.6 \;\rm L[/tex]

Therefore, option B. 34 L is the volume of 1.5 moles of oxygen at STP.

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https://brainly.com/question/2500913

What is the best definition
of thermal expansion?
A. Thermal expansion is when an object's volume
increases due to heat increase.
B. Thermal expansion is when an object's volume
decreases due to heat increase.
C. Thermal expansion is when an object's volume stays the
same due to heat increase.

Answers

Answer:

B.

Explanation:

thermal expansion♡

answer:

I think is B. Thermal expansion is when an object's volume

decreases due to heat increase.

What are these two processes called?

Plants consume
carbon dioxide and
release oxygen.

Animals consume
Oxygen and release
carbon dioxide.

Answers

Answer:

Plants consume carbon dioxide and release oxygen.

Answer: Photosynthesis

Animals consume oxygen and release carbon dioxide.

Answer: Respiration

A gas has a volume of 87.5 L and 8.7 moles. if the amount of moles is increased to 18, what is the volume?

Answers

Answer:

V2 = 181

Explanation:

Follow this equation: V1/n1 = V2/n2

V1 = 87.5L

n1 = 8.7

n2 = 18

V2 =?

V1/n1 = V2/n2   (to find V2, switch n2 to the other side)

So it going to be ---> n2×V1/n1 = V2

18×87.5/8.7 = V2

1575/8.7 = V2

181 = V2

So the answer is: 181

What problems do you think you can solve using science​

Answers

Answer:

you can solve the problem of growing a plant and it not germinating or possibly solve diseases.

Explanation:

Hope This Helps :)

PLEASE HELP ME NOW! WHATS NEWTONS FIRST LAW?!!!

Answers

Answer:

Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Explanation:

Hope this helps!

Which of the following is correctly balanced?



A.
Na2S + HCl → 2NaCl + 2H2S

B.
Na2S + 2HCl → NaCl + 2H2S

C.
Na2S + 2HCl → 2NaCl + H2S

D.
Na2S + HCl → NaCl + H2S

Answers

Answer:

A.) Na2S + HCl → 2NaCl + 2H2S

Explanation:

mark me brainliest!!

What are the products in the reaction below? (select all that apply)

Answers

Answer:

6CO₂ + 6H₂O

Explanation:

The products are on the right hand side of the equation which include Carbon dioxide and water

What kind of a system is a coffee held in a cup??​

don't spam..

Answers

Open system.

Explanation:

Hope it helps you!!

Answer:

open system

Explanation:

Coffee held in a cup is an open system because it can exchange matter water vapors and energy heat with the surroundings.

1) Convert 1.85mol to molecules (1.11x1024)

Answers

Answer:

1.11×10²⁴

Explanation:

To convert mol to molecules

Multiply the number of moles to 6.02×10²³

1.85×6.02×10²³ = 1.11×10²⁴

How many sigma bonds are present in acetylsalicylic acid.

Answers

Answer:13

Explanation:”13 sigma bonds”

what's the gravity and motion ​

Answers

Answer:

Gravity : Gravity is the force acting on objects that pulls it to the crust of the earth. It is the universal force of attraction between all matter.

Motion: Motion is the movement of objects from one position to another.

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