Question:
The ratio of isobaric volume expansivity and isothermal compressibility is given as:
The ratio of isobaric volume expansivity and isothermal compressibility is given as:
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The ratio of volume expansivity and compressibility is linked to the temperature derivative of volume at constant pressure.
Updated On: Mar 26, 2025
- \( \left( \frac{\partial P}{\partial T} \right)_V \)
- \( \left( \frac{\partial V}{\partial T} \right)_P \)
- \( \left( \frac{\partial P}{\partial V} \right)_T \)
- \( \left( \frac{\partial T}{\partial V} \right)_P \)
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The Correct Option is B
Solution and Explanation
The isobaric volume expansivity \( \beta \) and isothermal compressibility \( \kappa \) are related as:
\[ \frac{\beta}{\kappa} = \left( \frac{\partial V}{\partial T} \right)_P \]
\[ \frac{\beta}{\kappa} = \left( \frac{\partial V}{\partial T} \right)_P \]
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