Chapter 10, Problem 56A

Interpretation Introduction

Interpretation:

If 4.5 J heat energy is required to increase the temperature of 5 g Al from 25C to a higher temperature, then heat energy required to increase the temperature of 10 g Al over the same temperature interval must be calculated.

Concept Introduction:

Heat energy required to increase the temperature by t°C for m g substance with heat capacity s is given by:

  $\text{H=m×s×t}\text{.}$

Answer to Problem 56A

9.0 J heat energy will be required.

Explanation of Solution

As per the given question

  $\begin{array}{l}\text{4}\text{.5 J=5 g×s J/g°C×(t-25)°C}\\ \text{Or,s=}\frac{\text{4}\text{.5J}}{\text{5g×(t-25)°C}}\text{.}\end{array}$

Now putting this specific heat value it can be written as

  $\text{H=10 g×}\frac{\text{4}\text{.5J}}{\text{5g×(t-25)°C}}\text{×(t-25)°C=2}\times \text{4}\text{.5 J=9}\text{.0 J}\text{.}$

Conclusion

Thus 9.0 J heat energy will be required.