Question

what amount of heat is required to increase the temperature of 75.0 grams of gold from 150°C to 250°C? The specific heat of gold is 0.13 J/g°C.

Answer 1

The amount of heat Q needed to increase 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, and
`C_s` is its specific heat capacity.

In our problem, we have:
m=75.0 g

`\Delta T=250^(\circ)C-150^(\circ)C=100^(\circ) C`

`C_s=0.13 J/g ^(\circ)C`
so, substituting these numbers, we get the amount of heat needed:

`Q=(75.0 g)(0.13 J/g^(\circ)C)(100 ^(\circ)C)=975 J`