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)

The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that the mole fraction of A in the mixture is 0.6, then the mole fraction of B in the vapour phase is x $$\times$$ 10^$$-$$1. The value of x is ___________. (Nearest integer)

The number of chlorine atoms in 20 mL of chlorine gas at STP is _________ 10²¹. (Round off to the Nearest Integer).

[Assume chlorine is an ideal gas at STP

R = 0.083 L bar mol^$$-$$1 K^$$-$$1, N_A = 6.023 $$\times$$ 10²³]