Chapter 2, Problem 2.10P

Interpretation Introduction

Interpretation:

The final temperature of the system should be calculated.

Concept Introduction:

The total heat lost to the surrounding from the system is assumed to be zero in calorimetry. So, the following equation is used to calculate the final temperature:

  $m_c\times \Delta U_C+m_w\times \Delta U_w+m_t\times \Delta U_t=0$

Here, $\Delta U=C_P\Delta T$

Thus, the equation becomes:

  $m_c\times C_{P_S}\times \left(T_2-T_C\right)=m_w\times C_P{}_{{}_W}+m_t\times C_{P_S}\times \left(T_2-T_1\right)$

Here, $m_c$ is mass of casting, $m_w$ is mass of water and $m_t$ is mass of steel tank.