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Q.

If the value of R is 8.314 $J K^{- 1} {mol}^{- 1},$ what is the difference between molar heat capacities at constant pressure and constant volume for 5 moles of Ar gas (molar mass = 40 g ${mol}^{- 1}$ )?

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a

1.663 J

b

8.314 J

c

41.570 J

d

748.26 J

answer is B.

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Detailed Solution

$C_{p} - C_{v} = nR (for n moles)$

$C_{p} - C_{v} = 5 \times 8.314 = 41.570 J$

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If the value of R is 8.314 J K-1 mol-1, what is the difference between molar heat capacities at constant pressure and constant volume for 5 moles of Ar gas (molar mass = 40 g mol-1)?