Question

The reaction `A(g)toB(g)+2C(g)` is a first order reaction with rate constant `2.772xx10^(-3)sec^(-1)` reaction is started with only 0.1 mol of A in a container with volume 2 litre and is allowed to take place at constant volume and at constant temperature `300K[R=0.082` litre atm `mol^(-1)K^(-1)]`
`(log2=0.30)`
Q. Select the correct statement (s)
A. Concentration of C after 250 sec will be 0.05 M
B. concentration of C after 250 sec will be 0.1 M
C. Partial pressure of C after 250 will be 2.46 atm
D. Partial pressure of C after 250 will be 1.23 atm

Answer 1

Correct Answer - A::D
`underset((0.1)/(2))(A(g))tounderset(0)(B(g))+underset(0)(2C(g))`
`t=250sec`
`t_((1)/(2))=(0.693)/(2.772xx10^(-3))=250sec`
Hence after 250 sec.
`[A]=(0.1)/(2xx2)=0.025M,[C]=2xx(0.1)/(2xx2)=(0.1)/(2)M=0.05M`
`impliesP_(C)=(0.1)/(2)xx0.082xx300=1.23atm`.