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Q.

The specific heat at constant volume for the monatomic argon is 0.075 kcal/kg-K, whereas its gram molecular specific heat is Cv = 2.98 cal/mol/K. The mass of the argon atom is (Avogadro's number = 6.02 x 1023 molecules/mol)

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a

6.60×10−23g

b

3.30×10−23g

c

2.20×10−23g

d

13.20×10−23g

answer is A.

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Detailed Solution

Molar specific heat = molecular weight X gram specific heatCv=M×cv2.98cal/mol−K=M×0.075kcal/kg−K =M×0.075×103103cal/g−K∴  Molecular weight of argon      M=2.980.075=39.7g i.e., mass of 6.023×1023 atom =39.7gTherefore, mass of single atom=39.76.023×1023=6.60×10−23g
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The specific heat at constant volume for the monatomic argon is 0.075 kcal/kg-K, whereas its gram molecular specific heat is Cv = 2.98 cal/mol/K. The mass of the argon atom is (Avogadro's number = 6.02 x 1023 molecules/mol)