Chapter 2, Problem 2.25P

Interpretation Introduction

Interpretation:

The differential equation produced by the mass and energy balances should be proved.

  $\frac{dU}{\left(H\text{'}-U\right)}=\frac{dm}{m}$

Concept Introduction:

Neglecting heat transfer and there is no enthalpy change between gas and tank.

The gas is bled out from a tank and neglecting heat transfer among the gas and the tank.

Let, consider tank as control volume. compose mass balance for control volume

  $\frac{d{m}_{cv}}{dt}+\Delta {\left(\dot{m}\right)}_{fs}=0$