Question

When 895-j of heat is applied to a sample of iron metal the temperature increases by 55.0

c. determine the mass of the metal sample answer?

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

`C_s` is the specific heat capacity of the substance

`\Delta T` is the increase of temperature

For iron, the specific heat capacity is
`C_s = 0.45 J/g ^(\circ)C`. The amount of heat supplied to this sample is Q=895 J and the temperature increases by
`\Delta T = 55.0 ^(\circ) C`, so we can re-arrange the previous formula to find the mass of the sample:

`m= (Q)/(C_s \Delta T)= (895 J)/((0.45 J/g^(\circ)C)(55.0^(\circ)C))=36.2 g`