Question

200 J of heat energy is supplied by a burner to 100 g of metal when its temperature rises to 8 °C. The specific heat capacity of the metal is:

• A. 0.20 Jg^-1 °C^-1
• B. 0.22 Jg^-1 °C^-1
• C. 0.25 Jg^-1 °C^-1
• D. 0.24 Jg^-1 °C^-1

Answer 1

The correct option is C

0.25 Jg^-1 °C^-1

Given:

The mass of the given metal, $m=100g$.

The change in temperature, ${\theta }_R=8°C$.

The heat absorbed by the metal, $H=200J$.

Required to find:

The specific heat capacity (c) of the given metal.

Finding the specific heat capacity by using the formula (H = mcθ_R) :

We know that the heat supplied to the metal is given by $H=mc{\theta }_R$, we get,

$$\begin{gathered} 200=100xcx8 \\ =800c \\ \Rightarrow c=\frac{200}{800}=\frac{1}{4}=0.25J{g}^{-1}°C^{-1} \end{gathered}$$

Hence, the specific heat capacity of the metal is 0.25 Jg^-1 °C^-1

Hence, option (C) is correct.