The specific heat of silver is 0.057 calories/gram°C. If 10.0 grams of silver were heated and the temperature of the sample changed by 20.0°C, how many calories of heat energy were absorbed by the sample?
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heat in = specific heat * mass * change in temp
heat in = .057 * 10 *20
= 5.7 * 2 = 11.4 calories
To calculate the amount of heat energy absorbed by the sample, you can use the formula:
Q = mcΔT
where:
Q is the amount of heat energy absorbed,
m is the mass of the sample,
c is the specific heat capacity of the substance,
ΔT is the change in temperature.
In this case, the mass of the silver sample is 10.0 grams, the specific heat of silver is 0.057 calories/gram°C, and the change in temperature is 20.0°C.
Plugging these values into the formula:
Q = (10.0 grams) * (0.057 calories/gram°C) * (20.0°C)
Q = 11.4 calories
Therefore, the sample of silver absorbed 11.4 calories of heat energy.