A vessel of vossel of volume `8.0 xx 10^(-3) m^(-3)` contains ideal gas at `300 K` and `200kPa` The gas is allowed to leak till the pressure falls to `125 kPa` Calculate the mole of gas leaked out if temperature remains constant Assume ideal nature .

Explanation

At ` t = 0 n_(g)`
` =(PV)/(RT) = (200 xx 10^(3) xx 8.0 xx 10^(-3))/(8.314 xx 300) = 0.64`
After leakage, `n_(g)` left
` = (PV)/(RT) = (125 xx 10^(3) xx 8.0 xx 10^(-3))/(8.314 xx 300) =0.64`
`:. ng` leaked out `= 0.64 -0.40 = 0.24` .