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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)
2
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)
3
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
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, NA = 6.023 $$\times$$ 1023]
4
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Consider the reaction

$$N_{2}O_{4}\left( g\right) \rightleftharpoons 2NO_{2}\left( g\right)$$

The temperature at which KC = 20.4 and KP = 600.1, is ____________ K. (Round off to the Nearest Integer). [Assume all gases are ideal and R = 0.0831 L bar K$$-$$1 mol$$-$$1]