Home
Class 12
CHEMISTRY
The gaseous decomposition reaction, A(g)...

The gaseous decomposition reaction, `A(g) rarr 2B(g) + C(g)` is observed to first order over the excess of liquid water at `25^(@)` C. It is found that after 10 minutes the total pressure of system is 188 torr and after very long time it is 388 torn The rate constant of the reaction (in `hr^(1)`) is: [Given: vapour pressure of `H_(2)` O at `25^(@)` C is 28 torr(In 2 = 0.7, In 3 = 1.1, In 10 = 2.3)]

A

0.02

B

1.2

C

0.2

D

2.2

Text Solution

Verified by Experts

`{:(,A(g) ,rarr,2B(g),+,C(g)),("let initial pressure",P_(0),,0,,0),("After 10 min.",(P_(0)-x),,2x,,x),("After long time "(t rarr oo),0,,2P_(0),,P_(0)):}`
as per given `(P_(0) - x) + 2x + +` vapour pressure of `H_(2)O = 188`
`P_(0) + 2x = 160` and `3P_(0) + 28 = 388` so, `P_(0) = 120` and `x = 20` torr
`k = (1)/(t)ln((P_(0))/(P_(0)-x)) rArr (1)/(10)ln((120)/(100)) = (1)/(10) + (ln 4 + ln 3 - ln 10) = 0.02 "min"^(-1)= 1.2 hr^(-1)`
Promotional Banner

Similar Questions

Explore conceptually related problems

If decomposition reaction A(g) to B(g) follows first order kinetics then the graph of rate of (R) of B against time t will be :

The gaseous reaction A(g) to 2B(g) + C(g) is found to be first-order respect to A. The reaction is started with p_A = 90 mmHg, the pressure after 10 min is found to be 180 mmHg. The rate constant of the reaction is

The reaction A(g) rarr B(g) + 2C(g) is a first order reaction with rate constant 2.772 xx 10^(-3) S^(-1) . Starting with 0.1 mole of A in 2 litre vessel, find the concentration of A after 250 sec when the reaction is allowed to take place at constant pressrue at 300 K.

Consider the decomposition reaction given below. 2HI(g) rarr H_2(g) + I_2(g) . Write the differential rate expression of this reaction with respect of the reactant.

Time required to decompose SO_2CL_@ to half of its initial amount is 60 minutes. If the decomposition is a first order reaction, calculate the rate constant of the reaction.

For a first order homogenous gaseous reaction A rarr2B +C if the total pressure after time t was p_(t) and after long time (t rarr infty) was p_(infty) then k in terms of p_(t), p_(infty) and t is

At 27^(@) C it was observed in the hydrogenation of a reaction, the pressure of H_(2) (g) decreases from 10 atm to 2 atm in 10 min. Calculate the rate of reaction in M min^(-1)