How much energy must be transferred as heat for a reversible isothermal expansion J. of an ideal gas at 132°C if the entropy of the gas increases by 46.0 K

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**Question:**

How much energy must be transferred as heat for a reversible isothermal expansion of an ideal gas at 132°C if the entropy of the gas increases by 46.0 J/K?

**Explanation:**

In an isothermal process, the temperature remains constant. To find the energy transferred as heat (Q), when the entropy (ΔS) increases, we use the relationship for reversible processes:

\[ Q = T \times \Delta S \]

Where:
- \( T \) is the absolute temperature in Kelvin (K).
- \( \Delta S \) is the change in entropy.

Convert the temperature from °C to K:
\[ T(K) = 132 + 273.15 = 405.15 \, K \]

Given:
- \( \Delta S = 46.0 \, J/K \)

Substituting the values:
\[ Q = 405.15 \, K \times 46.0 \, J/K \]

Calculate to find the energy transferred as heat.
Transcribed Image Text:**Question:** How much energy must be transferred as heat for a reversible isothermal expansion of an ideal gas at 132°C if the entropy of the gas increases by 46.0 J/K? **Explanation:** In an isothermal process, the temperature remains constant. To find the energy transferred as heat (Q), when the entropy (ΔS) increases, we use the relationship for reversible processes: \[ Q = T \times \Delta S \] Where: - \( T \) is the absolute temperature in Kelvin (K). - \( \Delta S \) is the change in entropy. Convert the temperature from °C to K: \[ T(K) = 132 + 273.15 = 405.15 \, K \] Given: - \( \Delta S = 46.0 \, J/K \) Substituting the values: \[ Q = 405.15 \, K \times 46.0 \, J/K \] Calculate to find the energy transferred as heat.
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