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  4. How many calories are required to heat 40 grams of argon from 40 to 100° C at constant volume ?(R = 2 cal/mol. K)

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Q. How many calories are required to heat $40 \,grams$ of argon from $40$ to $100^\circ \,C$ at constant volume ?($R = 2 cal/mol. K)$

Odisha JEEOdisha JEE 2007Thermodynamics

Solution:

For a monoatomic gas like argon, $C_v$ = 3 cal $mol^{-1}$, Cp = 5 cal $mol^{-1}$.
Molar heat capacity is the heat required to raise the temperature of 1 mole of the gas by 1$^\circ$ 40 g of argon = 1 mole.
Hence, heat required to raise the temperature from 40$^\circ$ to 100$^\circ$C at constant volume = 3 $\times$ (100 - 40) = 180 cal