The reaction given below is observed to be first order with rate constant 7.48xx10^(-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 100sec. 2A(g)+4B(g)+C(g)

The reaction given below is observed to be first order with rate const

1.	The reaction given below is observed to be first order with rate constant 7.48xx10^(-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 100sec. 2A(g)+4B(g)+C(g)
Answer» Solution :`{:(,,2A_((g)),,to,,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)=0.03atm` `K=(2.303)/(t)LOG.(P_(0))/(P_(0)-P.)` `t=(2.303)/(7.48xx10^(-3))log((0.1)/(0.07))=47.7sec` ALSO, `k=(2.303)/(t)log((0.1)/(0.1-P.))` `7.48xx10^(-3)=(2.303)/(100)log((0.1)/(0.1-P.))` `0.1-P.=0.047` `P.=0.053` `P_("total")=0.1+(3)/(2)(0.053)~~0.180atm`.