For a first order reaction A ( g )   →   2 B ( g )   +   C ( g ) at constant volume and 300 K, the total pressure at the beginning ( t   =   0 ) and at time are   P 0   a n d   P 1 , respectively. Initially, only A is present with concentration…

Question

For a first order reaction A ( g ) &#160; &#8594; &#160; 2 B ( g ) &#160; + &#160; C ( g ) at constant volume and 300 K, the total pressure at the beginning ( t &#160; = &#160; 0 ) and at time are &#160; P 0 &#160; a n d &#160; P 1 , respectively. Initially, only A is present with concentration &#160; A 0 , and t 1 3 &#160; is the time required for the partial pressure of A to reach 1 / 3 r d of its initial value. The correct option(s) is (are) (Assume that all these gases behave as ideal gases)

Aicharya · Accepted Answer

A &#8594; 2 B + C t = 0 P 0 - &#160; - t = t P 0 - P 2 P &#160; &#160; P P 0 + 2 P = P t K = 1 t ln &#8289; P 0 P 0 - P = 1 t ln &#8289; P 0 P 0 - P t - P 0 2 K = 1 t ln &#8289; 2 P 0 3 P 0 - P t &#8658; - K t + ln &#8289; 2 P 0 = ln &#8289; 3 P 0 - P t And t 1 3 = 1 K ln &#8289; P 0 &#160; P 0 3 = 1 K ln &#8289; 3 = contant Rate constant does not depends on concentration

For a first order reaction A ( g )   →   2 B ( g )   +   C ( g ) at constant…

Solution

For a first order reaction A ( g ) &#160; &#8594; &#160; 2 B ( g ) &#160; + &#160; C ( g ) at constant…

Solution

For a first order reaction A ( g ) → 2 B ( g ) + C ( g ) at constant…