1. Tardigrade
  2. Question
  3. Physics
  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 $R =8.31 \,J / mol . K )$

JEE AdvancedJEE Advanced 2012

Solution:

$\Delta Q =n C_{p} \Delta T$ (Isobaric process)
$=2 \times \frac{5}{2} R \times(35-30) $
$=208\, J$