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Specific Heat Capacities of Gases — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsSpecific Heat Capacities of Gases1 Mark
Question
Two samples A and B are initially kept in the same state. Sample A is expanded through an adiabatic process and the sample B through an isothermal process. The final volumes of the samples are the same. The final pressures in A and B are pA and pB respectively.
  1. pA > pB
  2. pA = pB
  3. pA < pB
  4. The relation between pA and pB cannot be deduced.
✓

Answer

  1. pA < pB

Explanation:

Let the initial states of samples A and B be i and the final states of samples B and A be f and f', respectively. Let the final volumes of both be Vo. As sample A is expanded through an adiabatic process, its curve in the p-V diagram is steeper than that of sample B, which is expanded through an isothermal process. Therefore, from the p-V diagram, pA < pB.

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