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5 moles of gas were heated from $100 ° C$ to $120 ° C$ at constant volume. The internal energy was changed by 200joules. What is specific heat capacity of the gas

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5 J {mol}^{- 1} K^{- 1}

4 J {mol}^{- 1} K^{- 1}

2 J {mol}^{- 1} K^{- 1}

1 J {mol}^{- 1} K^{- 1}

answer is C.

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Detailed Solution

n = 5 mol; Δ t = 20 °C at C_{v}

$Q = 200 J;S = ?$

$C_{v} = \frac{200}{5 \times 20} {Jmol}^{- 1} k^{- 1} = 2 J$

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