JEE Mains · Physics · STD 11 - 12 . kinetic theory of gases
\(c_P\) and \(c_V\) are specific heats at constant pressure and constant volume respectively. It is observed that \(c_P - c_V = a\) for hydrogen gas \(c_P - c_V = b\) for nitrogen gas The correct relation between \(a\) and \(b\) is
- A \(a = \frac{1}{{14}}b\)
- B \(a=b\)
- C \(a=14b\)
- D \(a=28b\)
Answer & Solution
Correct Answer
(C) \(a=14b\)
Step-by-step Solution
Detailed explanation
As we know, \(C_P-C_v=E\) where \(C_p\) and \(C_v\) are molar specific heat capacities or, \({C_P} - {C_v} = \frac{R}{M}\) For hydrogen \((M = 2){C_p} - {C_v} = a = \frac{R}{2}\) \(For\,nitrogen\left( {M = 28} \right){C_p} - {C_v} = b = \frac{R}{{28}}\)…
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