1. Tardigrade
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  4. Two moles of ideal helium gas are in a rubber balloon at 30°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°C. The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol-K.)

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Q. Two moles of ideal helium gas are in a rubber balloon at 30$^{\circ}$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$^{\circ}$C. The amount of heat required in raising the temperature is nearly (take R = 8.31 J/mol-K.)

AIEEEAIEEE 2012Thermodynamics

Solution:

The process may be assumed to be isobaric.
$\therefore \, \, \, \, \, \, Q=nC_P \Delta T =(2) \bigg(\frac{5}{2}R\bigg)(5)$
=$ 5 \times 8.31 \times 5 =207.75 J =208 J$