1.

Decomposition of 3A(g)to2B(g)+2C(g) follows first order kinetics.Initially only A is present in the container.Pressure developed after 20 min. and infinite time are 3.5 and 4 atm respectively.Which of the following is true .

Answer»

`t_(50%)=20` min
`t_(75%)=40` min
`t_(99%)=64//3` min
`t_(87.5%)=60` min

Solution :`{:(,3A(g)" "to,2B(g)" "+,2C(g)),(t=0,P_0," ", " "),(t=20,P_0-x,(2x)/3,(2x)/3),(t=oo, " ",(2P_0)/3,(2P_0)/3):}`
`IMPLIES (4P_0)/3=4`
`P_0=3` atm.
`P_0+x/3=3.5implies t_(50%)=20` is the half life.
`x=1.5 " "t_(75%)=2xx20=40` min.
`t_(87.5%)=3xxt_(50%)=3xx20=60` min
`t_(99%)=2/3xxt_(99.9%)=2/3xx10xxt_(50%)=400/3`


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