A cylinder contains 10 kg of gas at pressure of 10^7 ~N / m ^2 . The quantity of gas taken out of the cylinder, if final pressure is 2.5 10^6 ~N / m ^2 will be (temperature of gas is constant)

Step-by-step solution

Intital mass of the gas m₁=10 ~kg Initial pressure P₁=10 ~N / m ^2 Final pressure P₂=2.5 10^6 ~N / m ^2 According to kinetic theory of gases P V= 1 3 m c⁻² or P m Hence, P₁ P₂ = m₁ m₂ or 10^7 2.5 10^6 = 10 m₂ or m₂=2.5 ~kg Hence, quantity of gas taken out from the cylinder is 10-2.5=7.5 ~kg