The half-life for the process 238u→206pb is 4.5×109 yr. a mineral sample contains 61.0 mg of 238u and 15.5 mg of 206pb. part a what is the age of the mineral

Answer : The age of the mineral is,

Explanation :

First we have to calculate the rate constant, we use the formula :

Now we have to calculate the time.

Expression for rate law for first order kinetics is given by:

where,

k = rate constant

t = time passed by the sample  = ?

a = initial amount of the reactant  = 61.0 mg

a - x = amount left after decay process = 15.5 mg

Now put all the given values in above equation, we get

Therefore, the age of the mineral is,

geosphere and hydrosphere.

this is because the geosphere has to do with geological events, while the hydrosphere controls all water on earth.