If C_p and C_v denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then: - Physics MCQ AIEEE 2007 2026 | ExamTest.live

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If C_{p} and C_{v} denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then:

Solution & Step-by-step Explanation

Mayer's formula for molar heat capacities is C_{p, m o l a r} - C_{v, m o l a r} = R .Specific heat per unit mass (C) is related to molar heat capacity (C_{m o l a r}) by C = C_{m o l a r} / M, where M is the molar mass.For nitrogen (N_{2}), M = 28 g/mol . C_{p} = \frac{C _{p, m o l a r}}{28} and C_{v} = \frac{C _{v, m o l a r}}{28} C_{p} - C_{v} = \frac{C _{p, m o l a r} - C _{v, m o l a r}}{28} = \frac{R}{28}

Try it yourself before checking the explanation above.

If C_{p} and C_{v} denote the specific heats of nitrogen per unit mass at constant pressure and constant volume respectively, then:

C_{p} - C_{v} = R /28

C_{p} - C_{v} = R /14

C_{p} - C_{v} = R

C_{p} - C_{v} = 28 R

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