JEE MAIN - Physics (2022 - 29th June Morning Shift - No. 4)
A cylinder of fixed capacity of 44.8 litres contains helium gas at standard temperature and pressure. The amount of heat needed to raise the temperature of gas in the cylinder by 20.0$$^\circ$$C will be :
(Given gas constant R = 8.3 JK$$-$$1-mol$$-$$1)
249 J
415 J
498 J
830 J
Explanation
$$\Delta Q = n{C_v}\Delta T$$ (Isochoric process)
$$ = 2 \times {{3R} \over 2} \times 20$$
$$ = 498$$ J