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For a first order reaction A(g)rarr2B(g)...

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)

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
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`A to 2 B + C`
t = 0 `" " P_(0)`
t = t `" " P_(0) - P " " 2P " " P`
`P_(0) + 2P = P_(t)`
`K = (1)/(t)` ln `(P_(0))/(P_(0) - P) = (1)/(t)` ln `(P_(0))/(P_(0) - ((P_(t) - P_(0))/(2))`
`K = (1)/(t)` ln `(2P_(0))/(3P_(0) - P_(t)) implies - Kt` + ln `2 P_(0)`= ln `(3P_(0) - P_(t))`
and `t_(1//3) = (1)/(K)` ln `(P_(0))/(P_(0)//3) = (1)/(K)` ln 3 = constant
Rate constant does not depends on concentration
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