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  • Two moles of ideal helium gas are in a rubber balloon at . The balloon

Two moles of ideal helium gas are in a rubber balloon at 30^{\circ} \mathrm{C}. The balloon is fully expandable and can be assumed to require no energy in its expansion. The temperature of the gas in the balloon is slowly changed to 35^{\circ} \mathrm{C}. The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol.K)

Option: 1

62J


Option: 2

104J


Option: 3

124J


Option: 4

208J


Answers (1)

best_answer

\mathrm{\begin{aligned} & \Delta Q=n C_P \Delta T \\ & =2\left(\frac{3}{2} R+R\right) \Delta T \\ & =2\left[\frac{3}{2} R+R\right] \times 5 \\ & =2 \times \frac{5}{2} \times 8.31 \times 5 \\ & =208 \mathrm{~J} \end{aligned}}

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Pankaj

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