Moderate

If Cv = 5/2 R, Cp will be:

Correct answer: D. 7/2R

  • A. 2/5R
  • B. 2/7R
  • C. 5/2R
  • D. 7/2R

Explanation

For an ideal gas, the relationship between molar specific heats is given by Mayer's formula: Cp - Cv = R. Given Cv = 5/2 R, we can find Cp by rearranging: Cp = R + Cv = R + 5/2 R = 7/2 R.

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About Molar Specific Heat of a Gas

Molar specific heat is the heat required to raise the temperature of one mole of a gas by one kelvin, expressed through Q = nCΔT. Questions compare the constant volume value Cv with the constant pressure value Cp, apply the ideal gas relation Cp − Cv = R, and identify how the thermodynamic process affects heat capacity.

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