To find the change in temperature of the copper, we can use the formula for heat transfer:
\[ Q = mc\Delta T \]
where:
- \( Q \) is the heat energy transferred (in joules),
- \( m \) is the mass of the copper (in kg),
- \( c \) is the specific heat capacity of copper (in J/kg·K),
- \( \Delta T \) is the change in temperature (in K or °C).
Given:
- \( Q = 6.62 \times 10^4 \) J,
- \( m = 0.190 \) kg,
- \( c = 385 \) J/kg·K.
We need to rearrange the formula to solve for \( \Delta T \):
\[ \Delta T = \frac{Q}{mc} \]
Now, substituting in the values:
\[ \Delta T = \frac{6.62 \times 10^4 , \text{J}}{0.190 , \text{kg} \times 385 , \text{J/kg·K}} \]
Calculating the denominator:
\[ 0.190 , \text{kg} \times 385 , \text{J/kg·K} = 73.15 , \text{J/K} \]
Now we can substitute back into the equation:
\[ \Delta T = \frac{6.62 \times 10^4 , \text{J}}{73.15 , \text{J/K}} \approx 905.53 , \text{K} \]
Thus, the change in temperature of the copper is approximately:
\[ \Delta T \approx 905.53 , \text{K} \]
So the change in temperature of the copper is about 905.53 K (or °C, since the increment of temperature in Kelvin and Celsius are the same).