For a first order homogenous gaseous reaction, `Ato2B+C`
then initial pressure was `P_(i)` while total pressure after time 't' was `P_(t)`. The right expression for the rate constants k in terms of `P_(i),P_(t)` and t is :
a) `k=(2.303)/(t)"log"((2P_(i))/(3P_(i)-P_(t)))`
b) `k=(2.303)/(t)"log"((2P_(i))/(2P_(t)-P_(i)))`
c) `k=(2.303)/(t)"log"((P_(i))/(P_(i)-P_(t)))`
d) None of these

Options

A. `k=(2.303)/(t)"log"((2P_(i))/(3P_(i)-P_(t)))`
B. `k=(2.303)/(t)"log"((2P_(i))/(2P_(t)-P_(i)))`
C. `k=(2.303)/(t)"log"((P_(i))/(P_(i)-P_(t)))`
D. None of these

Answer

A