Two moles of ideal helium gas are in a rubber balloon at . 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 . The amount of heat required in raising th

Question

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) [2012]

Smart Achievers · Accepted Answer

(4)

The heat is supplied at constant pressure, i.e., the process is isobaric.

$∴$ $Q = n C_{p} Δ t$

$= 2 [\frac{5}{2} R] \times Δ t$ $= 2 \times \frac{5}{2} \times 8.31 \times 5 = 208 J$ $(∵ C_{p} = \frac{5}{2} R for mono-atomic gas)$

Solution

1 62 J

2 104 J

3 124 J

4 208 J

Ans.
(4)

The heat is supplied at constant pressure, i.e., the process is isobaric.

$∴$ $Q = n C_{p} Δ t$

$= 2 [\frac{5}{2} R] \times Δ t$ $= 2 \times \frac{5}{2} \times 8.31 \times 5 = 208 J$ $(∵ C_{p} = \frac{5}{2} R for mono-atomic gas)$

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