Q:A gas is enclosed in a vessel at a constant temperature at a pressure of 2.5 atmospheres and a volume of 4 litres. Due to a leak in the vessel, after some time the pressure is reduced to 2 atmospheres. As a result : (a) 20% of the gas remains in the vessel (b) 20% of the gas escapes out (c) 25% of the gas escapes out (d) 25% of the gas remains in the vessel. Ans:(b) Sol: PV = constant. Differentiating it we get P dV + V dP = 0 or, $ \displaystyle \frac{dP}{P} = -\frac{dV}{V} $ % of gas escaped is $ \displaystyle -\frac{dV}{V}\times 100 = \frac{dP}{P} \times 100 $ $ \displaystyle = \frac{2.5-2}{2.5}\times 100 $ = 20% Also Read :A vessel containing 5 litres of a gas at 0.8 m pressure is connected to an evacuated vessel of…The gas in vessel is subjected to a pressure of 20 atmospheres at a temperature 27°C. The pressure…Find the approx number of molecules contained in a vessel of volume 7 litres at 0°C at 1.3 × 10^5…125 ml of gas A at 0.60 atmosphere and 150 ml of gas B at 0.80 atmospheric pressure at same…In an isothermal reversible expansion, if the volume of 96 g of oxygen at 27°C is increased from 70…Unit mass of a liquid with volume V1 is completely changed into a gas of volume V2 at a constant…One mole of O_2 gas having a volume equal to 22.4 litres at 0°C and 1 atmospheric pressure in…At constant pressure, the ratio of increase in volume of an ideal gas per degree rise in kelvin…The temperature of argon, kept in a vessel, is raised by 1°C at a constant volume. The total heat…Air inside a closed container is saturated with vapour pressure of water is P . If the mixture is… Post navigation A neutron travelling with a velocity v and K.E. ‘E’ collides perfectly elastically head on with nucleus… The root mean square velocity of the molecules in a sample of helium is 5/7th that of the molecules…