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An insulated cylinder of volume 60 cm³ is filled with a gas at 27°C and 2 atmospheres of pressure. The gas is then compressed to a final volume of 20 cm³ while the temperature is allowed to rise to 77°C. The final pressure is ______ atmospheres.

Asked in JEE Main 22nd Jan 2nd Shift 2026 · Ideal Gas Equation and Mixtures

Answer: 7

Step-by-step solution

Use the gas law between the two states:

(P₁V₁)/(T₁)=(P₂V₂)/(T₂).

P₂=P₁×(V₁)/(V₂)×(T₂)/(T₁)=2×(60)/(20)×(350)/(300)=2×3×7/6=7 atm.

The word "insulated" in the stem plays no part: the temperatures are given.

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