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MHT CET 2026 (13 May, Shift 2) · Gas Laws & Ideal Gas Equation

Gas Laws & Ideal Gas Equation question from MHT CET 2026 (13 May, Shift 2)

Q2MHT CET 2026 · 13 MAY · SHIFT 2Easy

Gas Laws & Ideal Gas Equation

A balloon contains 500500 m3^{3} of He at 27∘27^\circC and 11 atmospheric pressure. Then, volume of He at −3∘-3^\circC and 0.50.5 atmospheric pressure will be

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Answer: (b)

  1. Gas equation: P1V1T1=P2V2T2\dfrac{P_1V_1}{T_1} = \dfrac{P_2V_2}{T_2}, with T1=300T_1 = 300 K, T2=270T_2 = 270 K.
  2. V2=V1⋅P1P2⋅T2T1=500×10.5×270300V_2 = V_1 \cdot \dfrac{P_1}{P_2} \cdot \dfrac{T_2}{T_1} = 500 \times \dfrac{1}{0.5} \times \dfrac{270}{300}
  3. V2=500×2×0.9=900V_2 = 500 \times 2 \times 0.9 = 900 m3^3
  4. So the answer is (b) 900900 m3^3.
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