Two moles of ideal helium gas are in a rubber balloon at $30^o C$. The balloon is fully expandable and can be assumed to required no energy in its expansion. The temperature of the gas in the balloon is slowly changed to $35^o C$. The amount of heat required in raising the temperature is nearly...... $J$
(take $R$ $=$ $8.31$ $J/mol.K$)
A$62$
B$104$
C$124$
D$208$
Medium
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D$208$
d $\Delta Q=\Delta U+\Delta W=\frac{f}{2} n R \Delta T+P \Delta V=\left(\frac{f}{2}+1\right) n R \Delta T$
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Two ideal polyatomic gases at temperatures $T _{1}$ and $T _{2}$ are mixed so that there is no loss of energy. If $F _{1}$ and $F _{2}, m _{1}$ and $m _{2}, n _{1}$ and $n _{2}$ be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is
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