Question:medium
During the isothermal expansion, a confined ideal gas does \((-150) \mathrm{J}\) of work against its surroundings. This means that
During the isothermal expansion, a confined ideal gas does \((-150) \mathrm{J}\) of work against its surroundings. This means that
Show Hint
In an isothermal process the change in internal energy of an ideal gas is zero, so Q equals W.
Updated On: Nov 13, 2026
- 150 J of heat has been added to the gas
- 150 J of heat has been removed from the gas
- 300 J of heat has been added to the gas
- no heat is transferred because the process is isothermal
Show Solution
The Correct Option is B
Solution and Explanation
Step 1: Energy balance
$\Delta U=Q-W=0$ for an isothermal ideal gas.
Step 2: Heat equals work
$Q=W=-150\ \text{J}$.
Step 3: Eliminate
Magnitude 150 J, not 300 J, and the sign is negative, so heat is removed. Option (D) is wrong because heat flow must equal the work. Option (B) is correct.
Final Answer:
150 J of heat leaves the gas. \[ \boxed{\text{(B) }\text{150 J of heat has been removed from the gas}} \]
$\Delta U=Q-W=0$ for an isothermal ideal gas.
Step 2: Heat equals work
$Q=W=-150\ \text{J}$.
Step 3: Eliminate
Magnitude 150 J, not 300 J, and the sign is negative, so heat is removed. Option (D) is wrong because heat flow must equal the work. Option (B) is correct.
Final Answer:
150 J of heat leaves the gas. \[ \boxed{\text{(B) }\text{150 J of heat has been removed from the gas}} \]
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