a sample of oil has a specific heat capacity of 1.75J/g C. How much energy is required to increase the temperature of 2.00kg from 23C to 191C?

Question

1. 8.05 x 10^4 J
2. 6.69 x 10^5 J
3. 5.88 x 10^5 J
4. 7.49 x 10^5 J
5. 1.92 x 10^5 J

Answer 1

Hello, Caitlyn,

The units of the specific heat, J/gC, guide us to how we can determine the amount of heat required to raise the oil's temperature by 168C.

The specific heat unit of 1.75 J/gC says "My oil requires 1.75 Joules of energy to raise 1 gram of it by 1^oC."

So we need to multiply it by the number of grams of oil, and also by the temperature change from 23C to 191C (191C-23C=168C).

(1.75J/gC)*(2000g)*(168C)= 5.88x10⁵ J

Since we are adding heat to the oil, there is a negative sign for this energy, so the correct value is

- 5.88x10⁵ Joules, but since the question is only asking the amount, 5.88X10⁵ Joules is a satisfactory answer.

Bob