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For a gas, the difference between the two specific heats is 4150J Kg^-1 K^-1 and the ratio of specific heats is 1.4. What is the specific heat of the gas at constant volume in J Kg^-1 K^-1 ?

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8475

5186

1660

10375

answer is D.

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Detailed Solution

$\begin{array}{l} γ = 1 .4; R = 4150 {Jkg}^{- 1} k^{- 1} \\ \begin{aligned} C_{V} & = \frac{R}{γ - 1} = \frac{4150}{1 .4 - 1} = \frac{41500}{4} \\ = 10375 {Jkg}^{- 1} k^{- 1} \end{aligned} \end{array}$

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