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Question

The specific heat of argon at constant volume is 0.075 kcal/kg K. Calculate its atomic weight [ R=2 cal/mol K ]

A
40 gram/mole
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B
70 gram/mole
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C
60 gram/mole
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D
25 gram/mole
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Solution

The correct option is A 40 gram/mole
Argon is a monoatomic gas (n=3)
its molar specific heat at constant volume will be,
Cv=n2R=3R2
Cv=32×2=3 cal / mol.K
Relation between molar specific heat and specific heat capacity is,
Cv=MwC
(C=0.075 k cal/kg.K, Mw=atomic weight ),
specific heat is always defined as per unit mass
3 cal/mol.k =Mw×0.075 cal/g.k
Mw=30.075=40 gram/mole

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