The amount of heat required to raise the temp | vedclass

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(C) Helium is a monoatomic gas,so its molar heat capacities are $C_v = \frac{3}{2}R$ and $C_p = \frac{5}{2}R$.Given: $n = 2 	ext{ moles}$,$\Delta T =

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$600, 1000 	ext{ cal}$

Vedclass · Answer

(C) Helium is a monoatomic gas,so its molar heat capacities are $C_v = \frac{3}{2}R$ and $C_p = \frac{5}{2}R$.Given: $n = 2 	ext{ moles}$,$\Delta T = 100^{\circ}C = 100 	ext{ K}$,and $R \approx 2 	ext{ cal/mol K}$.At constant volume,the heat required is $\Delta Q_v = n C_v \Delta T = 2 	imes \frac{3}{2}R 	imes 100 = 300R = 300 	imes 2 = 600 	ext{ cal}$.At constant pressure,the heat required is $\Delta Q_p = n C_p \Delta T = 2 	imes \frac{5}{2}R 	imes 100 = 500R = 500 	imes 2 = 1000 	ext{ cal}$.

The amount of heat required to raise the temperature of $2$ moles of helium gas from $0^{\circ}C$ to $100^{\circ}C$ at constant volume and constant pressure,respectively,is:

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