1.

A big container having ideal gas at pressure P and of volume `V_(0)` is being evacuated by using vacuum pump of cylinder volume V. Find pressure in the big container after n strokes . Assume the whole process to be isothermal.

Answer» For first stroke, pressure become `P _(1)`
`PV_(0)=P_(1)(V_(0)+V)`
`P_(1)=(PV_0)/((V_(0)+V))`
for `2^(nd)`stroke, pressure become `P_(2)`
`P_(1)V_(0)=P_(2)(V_(0)+V)`
`P_(2)=(P_(1)V_(0))/((V_(0)+V))`
`P_(2)=(PV_(0)^(2))/(V_(0)+V)^2`
for `n^(tn)` Stroke, pressure becomes `P_(n)`
`P_(n)=(PV_(0)^(n))/((V_(0)+V)^(n)`


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