How many calories are required to raise the temperature of a 150. g sample of gold from 25 °C to 175 °C? The specific heat of gold is 0.0308 cal/g °C.
Question
How many calories are required to raise the temperature of a 150. g sample of gold from 25 °C to 175 °C?
The specific heat of gold is 0.0308 cal/g °C.
Solution
To calculate the amount of calories needed to raise the temperature of a certain mass of a substance, you can use the formula:
q = mcΔT
where:
- q is the heat energy (in calories)
- m is the mass of the substance (in grams)
- c is the specific heat capacity of the substance (in cal/g°C)
- ΔT is the change in temperature (in °C)
Given in the problem:
- m = 150 g
- c = 0.0308 cal/g°C
- ΔT = 175°C - 25°C = 150°C
Substitute these values into the formula:
q = (150 g)(0.0308 cal/g°C)(150°C) = 693 cal
So, 693 calories are required to raise the temperature of a 150 g sample of gold from 25 °C to 175 °C.
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