Two moles of ideal helium gas are in a rubber balloon at 30^{circ} C . balloon is fully expandable a

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10-1.Thermometry, Thermal Expansion and Calorimetry

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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 $R =8.31 J / mol$. $K$)

A

$62 \ J$

B

$104 \ J$

C

$124 \ J$

D

$208 \ J$

(IIT-2012)

Solution

$\Delta Q=n C_p \Delta T $

$=2\left(\frac{f}{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 $

$=208 \ J$

Standard 11

Physics

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