1
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
One mole of an ideal gas is taken through an adiabatic process where the temperature rises from 27$$^\circ$$ C to 37$$^\circ$$ C. If the ideal gas is composed of polyatomic molecule that has 4 vibrational modes, which of the following is true? [R = 8.314 J mol$$-$$1 k$$-$$1]
A
work done by the gas is close to 332 J
B
work done on the gas is close to 582 J
C
work done by the gas is close to 582 J
D
work done on the gas is close to 332 J
2
JEE Main 2021 (Online) 27th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Two Carnot engines A and B operate in series such that engine A absorbs heat at T1 and rejects heat to a sink at temperature T. Engine B absorbs half of the heat rejected by Engine A and rejects heat to the sink at T3. When workdone in both the cases is equal, to value of T is :
A
$${2 \over 3}{T_1} + {3 \over 2}{T_3}$$
B
$${1 \over 3}{T_1} + {2 \over 3}{T_3}$$
C
$${3 \over 2}{T_1} + {1 \over 3}{T_3}$$
D
$${2 \over 3}{T_1} + {1 \over 3}{T_3}$$
3
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure with mean kinetic energy 2 $$\times$$ 10$$-$$9 J per molecules is :
A
0.75 $$\times$$ 1011
B
3 $$\times$$ 1011
C
1.5 $$\times$$ 1011
D
6 $$\times$$ 1011
4
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of a diatomic gas. The temperature of the gas during the process A $$\to$$ B and C $$\to$$ D are T1 and T2 (T1 > T2) respectively.

Choose the correct option out of the following for work done if processes BC and DA are adiabatic.
A
WAB = WDC
B
C
WBC + WDA > 0
D
WAB < WCD
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