The kinetic data for the given reaction A (g) + 2 B (g) `overset(k)rarr` C (g) is provided in the following table for three experiments at 300 K

In another experiment starting with initial concentration of 0.5 and 1 M respectively for A and B at 300 K, find the rate of reaction after 50 minutes from start of experiment (in M/sec).

Options

A. `6.93xx10^(-4)`
B. `0.25xx10^(-7)`
C. `4.33 xx10^(-5)`
D. `3.46 xx10^(-4)`

Answer

C

Explanation

`r_(1)=k[0.01]^(a)[0.01]^(b)=6.93xx10^(-6)` (i)
`r_(2)=k[0.02]^(a)[0.01^(b)=1.386xx10^(-5)` (ii)
`r_(3)k[0.02]^(a)[0.02]^(b)=1.386xx10^(-5)` (iii)
rate of reaction =`6.93 xx10^(-4) xx0.0625 =4.33 xx10^(-5) xx0.0625 =4.33 xx10^(-5) Ms^(-1)`