Describe the isothermal process. A right rectangular prism of cast iron has dimensions of 55 × 45 × 35 mm at 25 °C. The prism is heated to 88 °C. The coefficient of linear expansion of cast iron is 9 × 10⁻⁶/°C. Calculate the following: 7.2.1 The increase in volume 7.2.2 The volume at 88 °C

Here are the solutions to Question 7:

QUESTION 7: HEAT

7.1 Describe the isothermal process.

An isothermal process is a thermodynamic process during which the temperature of a system remains constant. This occurs when the system is in thermal contact with a large heat reservoir, allowing heat to be exchanged to maintain a steady temperature.

7.2 A right rectangular prism of cast iron has dimensions of $55 \times 45 \times 35 \text{ mm}$ at $25^\circ \text{C}$. The prism is heated to $88^\circ \text{C}$. The coefficient of linear expansion of cast iron is $9 \times 10^{-6}/^\circ \text{C}$.

Given:

• Initial dimensions: $L_0 = 55 \text{ mm}$, $W_0 = 45 \text{ mm}$, $H_0 = 35 \text{ mm}$
• Initial temperature, $T_1 = 25^\circ \text{C}$
• Final temperature, $T_2 = 88^\circ \text{C}$
• Coefficient of linear expansion, $\alpha = 9 \times 10^{-6}/^\circ \text{C}$

7.2.1 The increase in volume