Q. 3.38 - An Introduction to General, Organic, and Biological Chemistry

Question

Substances A and B are the same mass and at the same initial temperature. When they are boated, the final terafeature of $\mathrm{A}$ is ${55}^{o}C$ higher than the temperature of $\mathrm{B}$. What does this  iell  you about the specific heats of $\mathrm{A}$ and $\mathrm{B}$ ?

Step-by-Step Solution

Answer

Because the final temperature of A is higher than the temperature of B, the specific heat of A is less than the specific heat of B.

Step 1:Given data

Substances A and B are the same mass and at the same initial temperature 

A is 55 

Cis higher than the temperature B

Find that the specific heat of A and B

Step 2:Specific heat of A and B

We are aware of this, specific heat.$\left(SH\right)=\frac{\text{ heat }}{\text{ grams }\times \Delta \mathrm{T}}$

The specific heat of substances A and B is inversely proportional to temperature change. This means that as the temperature changes, the specific heat decreases.$\left(T_f-T_i\right)$ increases.

Because the final temperature of A is higher than the temperature of B, the specific heat of A is less than the specific heat of B.