The reaction given below, rate constant for disappearance of A is `7.48 xx 10^(0–3)" sec"^(–1)`. Calculate the time required for the total pressure in a system containing A at an initial pressure of 0.1 atm to rise to 0.145 atm and also find the total pressure after 100 sec. `2A (g) rarr 4B(g) + C (g)`

Explanation

`2A(g) rarr 4B(g)+C(g)`
initial `P_(0)" "0" "0`
at time t`" "P_(0)-P'" "2P'" "P'//2`
`P_("total") =P_(0)-P'+2P'+P//2=P_(0)+(3P')/(2)`
`P'=(2)/(3)(0.145-0.1)=0.03` atm
`k=(2.303)/(2t) log""((0.1)/(0.07))`
`t=23.84` sec
Also `" "k=(2.303)/(2t) log""((0.1)/(P_(0)-P'))`
`7.48xx10^(-3)=(2.303)/(2xx100)log((0.1)/(0.1-P'))`
`0.1//0.1-P'=5`
`P'=0.08`
`P_("total") =0.1+(3)/(2)(0.080) ~~ 0.22` atm.