Chapter 6, Problem 6.10P

Interpretation Introduction

Interpretation:

The addition of heat on liquid water presents in rigid vessel at temperature $\text{298}\text{.15 K}$ and $\text{1}\text{bar}$ raises its temperature to $\text{323}\text{.15 K}$ . What is pressure developed inside vessel given that average value of $\beta =36.2{\text{×10}}^{\text{-5}}{\text{K}}^{\text{-1}}$ and value of $\kappa$ at $1\text{bar}$ is $\kappa =\text{4}{\text{.42×10}}^{\text{-5}}{\text{bar}}^{\text{-1}}$ . The specific volume of liquid water is given as $v=1.\text{003}\frac{{\text{cm}}^{\text{3}}}{\text{g}}$ .

Concept Introduction:

For single phase liquids or water as function of pressure and temperature in favor of volume expansivity and isothermal compressibility following equation is applicable:

  $\text{ln}\frac{{\text{V}}_{\text{2}}}{{\text{V}}_{\text{1}}}{\text{=β(T}}_{\text{2}}{\text{-T}}_{\text{1}}{\text{)-κ(P}}_{\text{2}}{\text{-P}}_{\text{1}}\text{)}$............(1)