JEE Main 2021 (Online) 26th August Morning Shift | Heat and Thermodynamics Question 166 | Physics

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]

work done by the gas is close to 332 J

work done on the gas is close to 582 J

work done by the gas is close to 582 J

work done on the gas is close to 332 J

JEE Main 2021 (Online) 27th July Evening Shift

MCQ (Single Correct Answer)

-1

Out of Syllabus

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 :

$${2 \over 3}{T_1} + {3 \over 2}{T_3}$$

$${1 \over 3}{T_1} + {2 \over 3}{T_3}$$

$${3 \over 2}{T_1} + {1 \over 3}{T_3}$$

$${2 \over 3}{T_1} + {1 \over 3}{T_3}$$

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-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 :

0.75 $$\times$$ 10¹¹

3 $$\times$$ 10¹¹

1.5 $$\times$$ 10¹¹

6 $$\times$$ 10¹¹

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