At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ____________ g mol^$$-$$1. (nearest integer) Assume that the behaviour of gases as ideal.

(Given : The molar mass of hydrogen (H₂) gas is 2.0 g mol^$$-$$1.)

An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of use at ambient temperature, the mass of the cylinder is reduced to 23.0 kg. The final pressure inside of the cylinder is _________ atm. (Nearest integer)

(Assume LPG of be an ideal gas)

An LPG cylinder contains gas at a pressure of 300 kPa at 27$$^\circ$$. The cylinder can withstand the pressure of 1.2 $$\times$$ 10⁶ Pa. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of cylinder will take place is __________$$^\circ$$ C. (Nearest integer)

A home owner uses 4.00 $$\times$$ 10³ m³ of methane (CH₄) gas, (assume CH₄ is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x $$\times$$ 10⁵ g. The value of x is __________. (Nearest integer)

(Given R = 0.083 L atm K^$$-$$1 mol^$$-$$1)