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NEET 1990 (AIPMT) · Thermodynamic Processes

Thermodynamic Processes question from NEET 1990 (AIPMT)

Q255NEET 1990 · AIPMTMedium

Thermodynamic Processes

One mole of an ideal gas requires 207 J heat to rise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10 K, the heat required is

(Given the gas constant R=8.3 J/mole KR = 8.3\text{ J/mole K})

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Answer: (d)

  1. Qp−Qv=n(Cp−Cv)ΔT=nRΔTQ_p - Q_v = n(C_p - C_v)\Delta T = nR\Delta T
  2. nRΔT=1×8.3×10=83 JnR\Delta T = 1 \times 8.3 \times 10 = 83\text{ J}
  3. Qv=207−83=124 JQ_v = 207 - 83 = 124\text{ J}
  4. So the answer is (d) 124 J124\text{ J}.
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