A 1 kg bar of gold at 150°C was placed in 3 kg of water that was originally at 20°C. What happened to the water?
The temperature of the water rose by about 1 °C.
Assume that the gold was originally at 20 °C.
We can calculate the heat that was added to heat it to 150 °C by using the specific heat formula:
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This heat will be transferred to the water, warming it from 20 °C to some higher temperature.
Calculating the new temperature of the water
We can use the same formula as before:
You may be surprised that the temperature of the water increases by only 1.4 °C.
Remember, though, that the specific heat capacity of water is 33 times that of gold, and the mass of water is 3 times the mass of gold.
That makes a factor of 100.