QuestionAugust 15, 2025

When an ideal gas is compressed isothermally ) the internal engergy of the gas does not change the temperature of the gas increases heat flows into the gas the work done on the gas is zero

When an ideal gas is compressed isothermally ) the internal engergy of the gas does not change the temperature of the gas increases heat flows into the gas the work done on the gas is zero
When an ideal gas is compressed isothermally
) the internal engergy of the gas does not change
the temperature of the gas increases
heat flows into the gas
the work done on the gas is zero

Solution
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Answer

The internal energy of the gas does not change. Explanation 1. Identify Isothermal Process Characteristics In an isothermal process, the temperature remains constant. 2. Analyze Internal Energy Change For an ideal gas, internal energy depends only on temperature. Since temperature is constant, the internal energy does not change. 3. Evaluate Heat Flow and Work Done According to the first law of thermodynamics, ** \Delta U = Q - W **. Here, \Delta U = 0, so Q = W. Heat flows into the gas to compensate for the work done on it. 4. Assess Work Done Work is done on the gas during compression, so it is not zero.

Explanation

1. Identify Isothermal Process Characteristics<br /> In an isothermal process, the temperature remains constant.<br /><br />2. Analyze Internal Energy Change<br /> For an ideal gas, internal energy depends only on temperature. Since temperature is constant, the internal energy does not change.<br /><br />3. Evaluate Heat Flow and Work Done<br /> According to the first law of thermodynamics, **$ \Delta U = Q - W $**. Here, $\Delta U = 0$, so $Q = W$. Heat flows into the gas to compensate for the work done on it.<br /><br />4. Assess Work Done<br /> Work is done on the gas during compression, so it is not zero.
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