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

In another experiment starting with initial concentration of 0.5 and I 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. `6.3 xx 10^(-4)`
B. `0.25 xx 10^(-7)`
C. `4.33 xx 10^(-5)`
D. `3.46 xx 10^(-4)`

Explanation

`r_(1) = k[0.01]^(n)[0.01]^(b) = 6.93 xx 10^(-6)` (i)
`r_(2) = k[0.02]^(a)[0.01]^(b) = 1.386 xx 10^(-5)` (ii)
`r_(3) = k[0.02]^(a)[0.02]^(b) = 1.386 xx 10^(-5)` …(iii)
From data a = 1, b = 0, overall order = 1, `k = 6.93 xx 10^(-4)sec^(-1)`
`6.93 xx 10^(-4) = (1)/(50 xx 60)ln""(A_(0))/(A_(t)), 0.693 xx 3 = lm""(A_(0))/(A_(t)) rArr A_(t) = 0.0625`
rate of reaction `= 6.93 xx 10^(-4) xx 0.0625 = 4.33 xx 10^(-5) Ms^(-1)`