Question

How much energy (J) is requried to raise 5.00 g of aluminum from 16.0 to 21.0 C?

Answer 1

It requires `"23 J"` of energy to raise the temperature of `"5.00 g"` of `"Al"` by `"5.0"^@"C"`.

Explanation:

Use the formula:

`q=mcDeltat`,

where:

`q` is heat energy, `m` is mass, `c` is specific heat capacity, and `Deltat` is change in temperature. `Deltat=T_"final"-T_"initial"`

Known

`m="5.00 g"`

`c_"Al"="0.9025 J/g"*""^@"C"`
https://www.tutorvista.com/physics/specific-heat-of-metals-chart

`T_"initial"="16.0"^@"C"`

`T_"final"="21.0"^@"C"`

`Deltat="21.0"^@"C"-"21.0"^@"C"="5.0"^@"C"`

Unknown

`q`

Plug in the known values and solve.

`q=5.00color(red)cancel(color(black)("g"))xx(0.9025 "J")/(color(red)cancel(color(black)("g"))*""^@color(red)cancel(color(black)("C")))xx5.0^@color(red)cancel(color(black)("C"))="23 J"` (rounded to two significant figures)