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Work Energy Theorem Application

When 5 moles ...

Question

When 5 moles of gas is heated from $100^{o} C$ to $120^{o} C$ at constant volume, the change in internal energy is 200 J. The specific heat capacity of the gas is

5 J m o l^{- 1} K^{- 1}

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4 J m o l^{- 1} K^{- 1}

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2 J m o l^{- 1} K^{- 1}

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1 J m o l^{- 1} K^{- 1}

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Solution

The correct option is B $2 J m o l^{- 1} K^{- 1}$
Change in internal energy is given by
$d U = n C_{v} Δ T$
$200 = 5 (C_{v}) 20$
$C_{v} = 2 J / m o l . K$
Option C.

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Similar questions

$5$ moles of oxygen are heated at constant volume from $10^{0} C$ to $20^{0} C$ . The change in internal energy of the gas is:

$C_{p} = 7.03 c a l m o l^{- 1} K^{- 1}$ and $R = 8.31 J m o l^{- 1} K^{- 1}$

12.6 J m o l^{- 1} K^{- 1}

J m o l^{- 1} K^{- 1}

R = 8.314 J m o l^{- 1} K^{- 1})

0^{o} C

100^{o} C

R = 8.32 {J m o l}^{- 1} K^{- 1}

100^{o} C

120^{o} C

10^{\circ} C t o 20^{\circ} C .

C_{p} = 7.03

^{- 1}

^{- 1}

R = 8.31 J

^{- 1} K^{- 1}

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