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in Physics by (28.9k points)

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 is

A) 238 J

B) 126 J

C) 210 J

D) 350 J

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1 Answer

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by (28.9k points)

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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