Decomposition of X exhibits a rate constant of 0.05 μ g / year. How many years are required for the decomposition of 5 μ g of X into 2.5 μ g ?

Question

Decomposition of X exhibits a rate constant of 0.05 μ g / year. How many years are required for the decomposition of 5 μ g of X into 2.5 μ g ? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

According to unit of rate constant, it is a z order reaction. The half-life of zero or reaction: t 1 / 2=([ A ]0/2 k )=(5/2 × 0.05)=50 years

Q. Decomposition of $X$ exhibits a rate constant of $0.05 μg /$ year. How many years are required for the decomposition of $5 μg$ of $X$ into $2.5 μg$ ?

According to unit of rate constant, it is a $z$ order reaction. The half-life of zero or reaction:
$t_{1/2} = \frac{[ A ] _{0}}{2 k} = \frac{5}{2 \times 0.05} = 50$ years

Q. Decomposition of X exhibits a rate constant of 0.05μg/ year. How many years are required for the decomposition of 5μg of X into 2.5μg ?

According to unit of rate constant, it is a z order reaction. The half-life of zero or reaction: t1/2​=2k[A]0​​=2×0.055​=50 years

Q. Decomposition of $X$ exhibits a rate constant of $0.05 μg /$ year. How many years are required for the decomposition of $5 μg$ of $X$ into $2.5 μg$ ?

According to unit of rate constant, it is a $z$ order reaction. The half-life of zero or reaction:
$t_{1/2} = \frac{[ A ] _{0}}{2 k} = \frac{5}{2 \times 0.05} = 50$ years