Question

A sample of silver at 10°C is heated to 90°C when 1 kcal of heat is added. What is the mass of the silver? (csilver = 0.056 cal/g•°C)

Answer 1

Given:

The initial temperature of the silver is

$T_i=\text{ 10}^{\circ}\text{ C}$

The final temperature of the silver is

$T_f=\text{ 90}^{\circ}\text{ C}$

The heat added is Q = 1 kcal = 1000 cal

The specific heat of silver is

$\text{C}_{silver}\text{ = 0.056 cal/g }^{\circ}C$

Required: The mass of the silver.

Explanation:

The mass of the silver can be calculated by the formula

$\begin{gathered} Q=mC(T_f-T_i) \\ m=\frac{Q}{C(T_f-T_i)} \end{gathered}$

On substituting the values, the mass will be

$\begin{gathered} m=\frac{1000}{0.056\times(90-10)} \\ =223.21\text{ g} \end{gathered}$

Final Answer: The mass of the silver is 223.31 g