A certain quantity of real gas occupies a volume of $$0.15~ \mathrm{dm}^{3}$$ at $$100 \mathrm{~atm}$$ and $$500 \mathrm{~K}$$ when its compressibility factor is 1.07 . Its volume at 300 atm and $$300 \mathrm{~K}$$ (When its compressibility factor is 1.4 ) is ___________ $$\times 10^{-4} ~\mathrm{dm}^{3}$$ (Nearest integer)

At $$600 \mathrm{~K}$$, the root mean square (rms) speed of gas $$\mathrm{X}$$ (molar mass $$=40$$ ) is equal to the most probable speed of gas $$\mathrm{Y}$$ at $$90 \mathrm{~K}$$. The molar mass of the gas $$\mathrm{Y}$$ is ___________ $$\mathrm{g} ~\mathrm{mol}^{-1}$$. (Nearest integer)

At constant temperature, a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is __________ mm Hg. (Nearest integer)

Three bulbs are filled with $$\mathrm{CH}_{4}, \mathrm{CO}_{2}$$ and $$\mathrm{Ne}$$ as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be ___________ atm. (Nearest integer)