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Answer : The time taken by the element to decay to 2 grams is, 75.2 minutes
Step-by-step explanation:
Half-life = 13 min
First we have to calculate the rate constant, we use the formula :
Now we have to calculate the time passed.
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 = 110 g
a - x = amount left after decay process = 2 g
Now put all the given values in above equation, we get
Therefore, the time taken by the element to decay to 2 grams is, 75.2 minutes