Home
Class 12
CHEMISTRY
For a first order homogeneous gaseous re...

For a first order homogeneous gaseous reaction, `Ato2B+C`
if the total pressure after time t was `P_(1)` and after long time `(trarroo)` was `P_(oo)` then k in terms of `P_(t),P_(oo)` and t is :

A

`K=(2.303)/(t)log((P_(infty))/(P_(infty)-P_(t)))`

B

`K=(2.303)/(t)log((2P_(infty))/(P_(infty-P_(t))))`

C

`K=(2.303)/(t)log((2P_(infty))/(3(P_(infty-P_(t)))))`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`{:(" ",Ato2B+C),(t=0,P_(A)):}`
`{:(t=t,P_(A)-P',2P',P'),(t=infty,0,2P_(A),P_(A)):}`
`P_(A)-P'+2P'+P'=P_(t)`
`P_(A)+2P'=P_(t)`
`2P_(A)+P_(A)=P_(infty)`
`P_(A)=(P_(infty))/(3)`
`(P_(infty))/(3)+2P'=P_(t)`
`P'=(P_(t)-(P_(infty))/(3))(1)/(2)`
`Kt=ln((P_(A))/(P_(A)-P'))=ln((P_(infty))/(3((P_(infty))/(3)-(P_(t))/(2)+(P_(infty))/(6))))`
`Kt=ln((P_(infty))/(3((2P_(infty)-3P_(t)+P_(infty))/(6))))`
`Kt=ln((2P_(infty))/(3P_(infty)-3P_(t)))`
`K=(2.303)/(t)log((2(P_(infty)))/(3(P_(infty)-P_(t))))`
Promotional Banner

Similar Questions

Explore conceptually related problems

For a first order homogeneous gaseous reaction Ato 2B+C if the total pressure after time t was P_(1) and after long time (t to infty) was P_(infty) then K in terms of P_(t_(1)) P_(infty) t is

For the homogenous gaseous reaction Ato3B , if pressure after time t was P_(t) and after completion of reaction, pressure was P_(oo) then select correct relation

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 :

For a homogeneous gaseous reaction A rarr B + C + D , the initial pressure was P_0 white pressure after time 't' was P. if (P gt P_0) The expression for the constant K is

For a first order gas phase reaction : A_((g)) to 2B_((g)) +C_((g)) P_(0) be initial pressure of A and P_(t) the total pressure at time 't'. Integrated rate equation is :

For a first order reaction A(g)rarr2B(g)+C(g) at constant volume and 300 K, the total pressure at the beginning (t=0) and at time t ae P_(0) and P_(t) respectively. Initially, only A is present with concentration [A]_(0) and t_(1//3) is the time required for the partial pressure of A to reach 1/3rd of its initial value. The correct options (s) is (are) : (Assume that all these behave as ideal gases)

Consider a first order gas phase decompostion reaction gives below A(g) to B(g) to C(g) The initial pressure of the system before decomposition of A p_(i) . After lapse of time 't' total pressure of the system increased by x units and became p_(t) . The rate constant K for the reaction is given as....... .

Consider a first order gas phase decomposition reaction given below: A(g) to B_(g) + C_(g) The initial pressure of the system before decomposition of A was p_(i) . After lapse of time t' . Total pressure of the system increased by x units and became P_(t) . the rate constant k for the reaction is given as

Consider a first order gas phase decomposition reaction given below: A (g) to B(g) +C(g) The initial pressure of the system before decomposition of A was pi. After lapse of time 'T', total pressure of the system increased by x units and became ' p_t '. The rate constant k for the reaction is given as