For a certain gas $C_{P} = 0.21 K c a l / k g K . C_{V} = 0.15 K c a l / k g^{0} K$ . What is the value of the gas constant for unit mass, if $J = 4200 j o u l e / K c a l ?$

152 J/k mole K

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252 J/k mole K

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100 J/k mole K

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200 J/k mole K

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Solution

The correct option is B 252 J/k mole K
Given,
$C_{P} = 0.21 k c a l / k g K$
$C_{V} = 0.15 k c a l / k g K$
By using the formula,
$C_{P} - C_{V} = R$
$R = (0.21 - 0.51) \times 4200$
$R = 252 J / k . m o l . K$
The correct option is B.

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