Question

How much heat do you need to raise the temperature of 150g of ice from –30oc to –15oc?

Answer 1

Answer: 4.61 kj

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Answer 2

The heat needed to raise the temperature of a substance by
`\Delta T` is given by

`Q= m C_s \Delta T`
where
m is the mass of the substance

`C_s` is its specific heat capacity

`\Delta T` is the increase in temperature.

In our problem, the mass of the ice is
`m=150 g`, the specific heat capacity of ice is
`C_s = 2.108 J/(g ^(\circ) C)` while the increase in temperature is
`\Delta T = -15 ^(\circ)C- (-30 ^(\circ))=15 ^(\circ)`, so the amount of heat needed is

`Q=(150 g)(2.108 J/(g^(\circ)C)(15^(\circ)C)=4748 J`