Chapter 15.1, Problem 11SSC

Interpretation Introduction

Interpretation:

The arrangement of four metals according to increase in their temperatures from largest increase to smallest increase is to be done.

Concept introduction:

Specific heat of a substance gives the amount of heat absorbed by one gram of it for per degree increase in temperature.

The quantity of heat required can be calculated by using formula:

$\begin{array}{l}q=mc\Delta T\\ whereqisquantityofheatabsorbed\\ m=givenmass\\ \Delta T=riseintemperature\\ cisspecificheat\\ \therefore c=\frac{q}{m\Delta T}\end{array}$

Thus, specific heat value is inversely proportional to rise in temperature.

Answer to Problem 11SSC

Order from largest increase to smallest increase:

Gold> Silver> Iron> Aluminium

Explanation of Solution

The values of specific heat from the table are as:

$\begin{array}{l}{c}_{alu\min ium}=0.897\\ c_{iron}=0.449\\ c_{gold}=0.129\\ c_{silver}=0.235\end{array}$

As gold has least specific heat value it has largest increase in temperature and aluminium has maximum value so it has smallest increase in temperature.

Therefore order is:

Gold> Silver> Iron> Aluminium

Conclusion

Thus, specific heat value is inversely proportional to rise in temperature.