JEE Main 2026 — Jan 22, Shift 2 — Physics solution

JEE Main2026Jan 22, Shift 2Physics

An insulated cylinder of volume 60 cm $^{3}$ is filled with a gas at 27°C and 2 atmospheric pressure. Then the gas is compressed making the final volume as 20 cm $^{3}$ while allowing the temperature to rise to 77°C. The final pressure is _____ atmospheric pressure.

Your answer

Solution

Using the combined gas law $\frac{P _{1} V _{1}}{T _{1}} = \frac{P _{2} V _{2}}{T _{2}}$ with $T_{1} = 300$ K and $T_{2} = 350$ K:

$\frac{2 \times 60}{300} = \frac{P _{2} \times 20}{350}$ .

$P_{2} = \frac{2 \times 60 \times 350}{300 \times 20} = \frac{42000}{6000} = 7$ atm.

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