The pressure of a moist gas at $$27^{\circ} \mathrm{C}$$ is $$4 \mathrm{~atm}$$. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ________________ $$\times 10^{-1} \mathrm{~atm}$$. (Nearest integer)
(Given : The vapour pressure of water at $$27^{\circ} \mathrm{C}$$ is $$0.4 \mathrm{~atm} .$$ )
1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work done for the expansion of gas from state 1 to state 2 at 300 K is ____________ J. (Nearest integer)
(Given : R = 8.3 J K$$-$$1 mol$$-$$1, ln10 = 2.3, log2 = 0.30)
Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL$$-$$1 at 257$$^\circ$$C and 100 mm Hg. The molar mass of geraniol is ____________ g mol$$-$$1. (Nearest Integer)
[Given : R = 0.082 L atm K$$-$$1 mol$$-$$1]
100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$$^\circ$$C under 1.5 bar pressure. The molar mass of the gas is __________ g mol$$-$$1. (Nearest integer)
(Given : R = 0.083 L bar K$$-$$1 mol$$-$$1)