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During an isothermal expansion, a confin...

During an isothermal expansion, a confined ideal gas does `-150 J` of work aginst its surroundings. This implies that

A

`150 J` of heat has been removed from the gas

B

`300 J` of heat has been added to the gas

C

no heat is transferred because the process is isothermal

D

`150 J` of heat been added to the gas

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The correct Answer is:
To solve the problem, we need to analyze the situation of an ideal gas undergoing an isothermal expansion while doing work against its surroundings. ### Step-by-Step Solution: 1. **Understanding the Process**: - The process is isothermal, which means the temperature of the gas remains constant throughout the expansion. 2. **Work Done by the Gas**: - The gas does `-150 J` of work against its surroundings. The negative sign indicates that the system (gas) is doing work on the surroundings. 3. **First Law of Thermodynamics**: - According to the first law of thermodynamics, the change in internal energy (ΔU) of the system is given by: \[ \Delta U = Q - W \] - Where: - \( Q \) is the heat added to the system. - \( W \) is the work done by the system (in this case, it is negative because the gas is doing work). 4. **Internal Energy Change in Isothermal Process**: - For an ideal gas undergoing an isothermal process, the change in internal energy (ΔU) is zero: \[ \Delta U = 0 \] - Therefore, we can simplify the first law equation to: \[ 0 = Q - W \] - Rearranging gives us: \[ Q = W \] 5. **Calculating Heat Transfer**: - Since the work done \( W = -150 J \), we substitute this into the equation: \[ Q = -(-150 J) = 150 J \] - This indicates that the gas absorbs 150 J of heat from its surroundings. 6. **Conclusion**: - During the isothermal expansion, since the gas does work against the surroundings, it must absorb heat to maintain a constant temperature. Therefore, **150 J of heat is added to the gas**. ### Final Answer: The implication of the gas doing `-150 J` of work against its surroundings during isothermal expansion is that **150 J of heat is added to the gas**.

To solve the problem, we need to analyze the situation of an ideal gas undergoing an isothermal expansion while doing work against its surroundings. ### Step-by-Step Solution: 1. **Understanding the Process**: - The process is isothermal, which means the temperature of the gas remains constant throughout the expansion. 2. **Work Done by the Gas**: ...
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