Question

The ratio of isobaric volume expansivity and isothermal compressibility is given as:

• A. \( \left( \frac{\partial P}{\partial T} \right)_V \)
• B. \( \left( \frac{\partial V}{\partial T} \right)_P \)
• C. \( \left( \frac{\partial P}{\partial V} \right)_T \)
• D. \( \left( \frac{\partial T}{\partial V} \right)_P \)

Hint:

The ratio of volume expansivity and compressibility is linked to the temperature derivative of volume at constant pressure.

Answer 1

The Correct Option is B

The isobaric volume expansivity \( \beta \) and isothermal compressibility \( \kappa \) are related as:
\[ \frac{\beta}{\kappa} = \left( \frac{\partial V}{\partial T} \right)_P \]