Answer:
The total amount of heat needed to change 2250 grams of silver at 200 ºC to 0ºC is 5805 J.
Explanation:
The melting point of silver is 961.8 ºC, meaning that heat released is entirely sensible. Therefore, the amount of heat released by the sample of silver ([tex]Q[/tex]), measured in joules, is determined by the following formula:
[tex]Q = m\cdot c\cdot (T_{f}-T_{o})[/tex] (1)
Where:
[tex]m[/tex] - Mass, measured in kilograms.
[tex]c[/tex] - Specific heat of silver, measured in joules per grams-degrees Celsius.
[tex]T_{o}[/tex], [tex]T_{f}[/tex] - Initial and final temperatures, measured in degrees Celsius.
If we know that [tex]m = 0.225\,kg[/tex], [tex]c = 129\,\frac{J}{kg\cdot^{\circ}C}[/tex], [tex]T_{o} = 200\,^{\circ}C[/tex] and [tex]T_{f} = 0\,^{\circ}C[/tex], then the heat received by the sample of silver is:
[tex]Q = (0.225\,kg)\cdot \left(129\,\frac{J}{kg\cdot ^{\circ}C} \right)\cdot (0\,^{\circ}C - 200\,^{\circ}C)[/tex]
[tex]Q = -5805\,J[/tex]
The total amount of heat needed to change 2250 grams of silver at 200 ºC to 0ºC is 5805 J.
