3. Gold-198 decays with a half-life of 2.7 days according to the equation:198Au → 0−1β + 198Cd a. Find the value of the rate constant, k. Include units.

b. How much of a 10.0 g sample of Au-198 remains after seven days? (Use the integrated rate law formula.)

The mass of Au-198 that remains after seven days is 1.62 g.

We know that radioactive decay is a first order reaction hence;

k = 0.693/ t12

Where;

k = rate constant

t12 = half life

k =  0.693/ 2.7 days = 0.26 day-1

Using;

N =Noe^-kt

No = amount of radioactive material initially present

N = mass of radioactive substance present at time t

N = 10 e^-(0.26 × 7)

N = 1.62 g

The mass of Au-198 that remains after seven days is 1.62 g.

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a. k=0.256/day

b.sample of Au-198 remains after seven days : 1.67 g

1. A half-life of 2.7 days⇒t1/2=2.7 days

The half-life can be expressed in a decay constant( λ)

2. We can use formula : (integrated rate law) :

Ao=10 g

t=7 days

k=0.256/day

out of these options:

ability to burn paper

pure sodium reacting violently with water

the boiling point of water

helium does not tend to react with anything

i would say this is a physical property:

helium does not tend to react with anything

why? :

i said helium does not tend to react with anything because well, it reacts to ! but ability to burn paper, pure sodium reacting violently with water, & the boiling point of water are chemical or

physical properties: the properties of a substance that can be observed without changing the chemical makeup of the substance

chemical properties: properties of a substance relating to the chemical nature and reactivity of the substance

beta decay is the answer