What is the age of a sample if there are 6 grams of an element that have not decayed out an original 24 grams and has a half-life of 8yrs. a. 8yrs b. 50yrs c. 29yrs d. 16yrs

16 years is the age of a sample.

Explanation:

The equation used to calculate half life for first order kinetics:

where,  

k = rate constant 

= half life of the sample

t = time taken for decay process

= initial amount of the sample

[A] = amount left after decay process 

We are given:

= 24 grams

[A] = 6 grams

Putting values in above equation, we get:

Rate law expression for first order kinetics is given by the equation:

On substituting the values we get value of t:

t = 16.00 years

16 years is the age of a sample.

true is the correct answer

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note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.