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Properties of Matter question

2013 · Q152
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Properties of Matter question

2013 · Q152

NEETPhysicsProperties of MatterMCQ+4 / −1
The molar specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv, respectively. If  γ\gammaγ = CpCv{{{C_p}} \over {{C_v}}}Cv​Cp​​ and R is the universal gas constant, then Cv is equal to
  1. A
    (γ−1)R{{\left( {\gamma - 1} \right)} \over R}R(γ−1)​
  2. B
    γR\gamma RγR
  3. C
    1+γ1−γ{{1 + \gamma } \over {1 - \gamma }}1−γ1+γ​
  4. D
    R(γ−1){R \over {\left( {\gamma - 1} \right)}}(γ−1)R​
View written solutionFree

Correct answer: D

In case of ideal gas

Cp – Cv = R

but γ\gamma γ = Cp/Cv

So, Cv=Rγ−1{C_v} = {R \over {\gamma - 1}}Cv​=γ−1R​

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