Chapter 10, Problem 50A

Interpretation Introduction

Interpretation: The increase in temperature needs to be determined, if 50 J of heat is supplied to 10 g of iron.

Concept Introduction: Specific heat capacity can be defined as the heat in joules that is required to raise the temperature of 1 g of substance by 1°C. The relation between specific heat capacity and heat required is shown below:

  $\begin{array}{l}\text{q = m× C × ΔT}\\ \text{q = heat }\\ \text{m = mass }\\ \text{C = specific heat capacity }\\ \text{ΔT= temperature change}\end{array}$

Answer to Problem 50A

  $\text{ΔT = }11\text{°C}$

Explanation of Solution

Given information:

Specific heat of iron = 0.45 J/g°C

Heat = 50.0 J

Mass = 10.0 g

Substitute the values to calculate the temperature change:

  $\begin{array}{l}\text{q = m× C × ΔT}\\ \text{ΔT=}\frac{\text{q}}{\text{m× C }}\\ \text{ΔT=}\frac{\text{50}\text{.0J}}{\text{10}\text{.0 g× 0}\text{.45 J/g°C }}\\ \text{ΔT = }11\text{°C}\end{array}$

Conclusion

Thus, the increase in temperature, $\text{ΔT = }11\text{°C}$