Question

calculate the amount of heat required to raise the temperature of 50g of copper by 45 degree celcius to 95 degree celcius

Answer 1

QUESTION

Calculate the amount of heat required to raise the temperature of $50\mathrm{g}$ of copper by 45 degree celcius to 95 degree celcius

SOLUTION

The amount of heat $Q$ required to raise the temperature of $m_{\text{copper}} = 50\mathrm{g}$ of copper by 45 degree Celsius ($45{}^{\circ}C = 45 + 273.15 = 318.15 \, \text{K} - T_{\text{initial}}$) to 95 ($368,15 \, \text{K} - T_{\text{final}}$) degree celcius is

$$Q = c_{\text{copper}} m_{\text{copper}} (T_{\text{final}} - T_{\text{initial}})$$

Here $c_{\text{copper}} = 386 \frac{J}{kg \cdot K}$ is specific heat of copper.

Hence

$$Q = 386 \cdot \frac{50}{1000} (368.15 - 318.15) = 965 \, J$$

ANSWER

965 J