An ideal gas is filled in a closed rigid and thermally insulated container. A coil of resistor carrying current 1 A for 5 minutes supplies heat to the gas. The change in internal energy of the gas is [2005]

Question

An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $100 Ω$ resistor carrying current 1 A for 5 minutes supplies heat to the gas. The change in internal energy of the gas is [2005]

Smart Achievers · Accepted Answer

(2)

Here, change in internal energy = heat supplied

$i.e., Δ U = Q = I^{2} R t$

$= 1 \times 1 \times 100 \times 5 \times 60$ $= 30, 000 J = 30 kJ$

Solution

Q.
An ideal gas is filled in a closed rigid and thermally insulated container. A coil of $100 Ω$ resistor carrying current 1 A for 5 minutes supplies heat to the gas. The change in internal energy of the gas is [2005]

1 10 kJ

2 30 kJ

3 20 kJ

4 0 kJ

Ans.
(2)

Here, change in internal energy = heat supplied

$i.e., Δ U = Q = I^{2} R t$

$= 1 \times 1 \times 100 \times 5 \times 60$ $= 30, 000 J = 30 kJ$

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