Question

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

• A. $10$ $kJ$
• B. $20$ $kJ$
• C. $30$ $kJ$
• D. $0$ $kJ$

Answer 1

The correct option is C $30$ $kJ$

$\text{Given:-}$ Resistance $=100\Omega$

Current $=1A$

Time $=5minutes$

$\text{Solution:-}$

The heat supplied under these conditions is the change in internal energy

$Q=\Delta U$

The heat supplied, $Q=i^{2}RT$

$\Rightarrow Q=1^2\times 100\times (5\times 60)$

$\Rightarrow Q=30,000J$

$\Rightarrow Q=30kJ$

$\text{Hence the correct option is C}$