1.

One mole of an ideal monatomic gas requires 210 J heat to raise the temperature by 10 K, when heated at constant temperature. If the same gas is heated at constant volume to raise the temperature by 10 K then heat required isA) 238 JB) 126 JC) 210 JD) 350 J

Answer»

B) 126 J

Explanations:

\(Q_p=\mu C_p\Delta T \,and\, Q_v = \mu C_v\Delta T\)

\(\Rightarrow \frac{QV}{Qp}=\frac{CV}{CP}=\frac{\frac{3}{2}R}{\frac{5}{2}R}=\frac{3}{5}\)

\([\therefore(CV)_{mono}=\frac{3}{2}R,(C_p)_{mono}=\frac{5}{2}R]\)

\(\Rightarrow QV=\frac{3}{5}\)\(\times(\Delta Q)P\)

\(=\frac{3}{5}\times210 = 126J\)



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