Chapter 10, Problem 51A

Interpretation Introduction

Interpretation: The change in temperature of the iron needs to be calculated if $50\text{J}$ of heat is applied to $\text{10}\text{.0}\text{g}$ of iron.

Concept introduction: Specific heat of capacity can be defined as the amount of heat added to a substance to raise the temperature by one degree.

Answer to Problem 51A

The change in temperature of iron will be $\text{11°C}$ .

Explanation of Solution

The specific heat capacity of iron is $0.45\text{J/g°C}$ .

The amount of heat required for heating the $\text{10}\text{.0}\text{g}$ of iron sample is $50\text{J}$ .

Now, the change in temperature of iron can be calculated as:

  $\begin{array}{c}Q=s\times m\times \Delta T\\ 50\text{J}=0.45\text{J/g°C}\times 10.0\text{g}\times \Delta T\\ \Delta T=\frac{50J}{0.45\text{J/g°C}\times 10.0\text{g}}\\ =11\text{°C}\end{array}$

Hence, the change in temperature will be $11\text{°C}$ .

Conclusion

The equation for the calculation of mass is as follows:

  $Q=s\times m\times \Delta T$

Where, Q is the amount of heat, m is the mass of substance, s is the specific heat capacity and $\Delta T$ is the temperature change.