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1
JEE Main 2021 (Online) 25th July Evening Shift
Numerical
+4
-1
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)
2
JEE Main 2021 (Online) 25th July Morning Shift
Numerical
+4
-1
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)
3
JEE Main 2021 (Online) 20th July Evening Shift
Numerical
+4
-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)
R = 0.083 L bar mol$$-$$1 K$$-$$1, NA = 6.023 $$\times$$ 1023]