Question

Gold has a specific heat of 0.129 J/g °C. How many joules of heat energy are required to raise the temperature of 16 grams of gold from 23 °C to 94 °C?

Answer 1

Approximately `146.54` joules.

Explanation:

We use the specific heat equation, which states that:

`q=mcDeltaT`

where:

• `q` is the heat energy supplied in joules

• `m` is the mass of the object

• `c` is the specific heat capacity of the object

• `DeltaT` is the change in temperature

So, we get:

`q=16color(red)cancelcolor(black)"g"*(0.129 \ "J")/(color(red)cancelcolor(black)"g"color(red)cancelcolor(black)(""^@"C"))*(94^@"C"-23^@"C")`

`q=16color(red)cancelcolor(black)"g"*(0.129 \ "J")/(color(red)cancelcolor(black)"g"color(red)cancelcolor(black)(""^@"C"))*71color(red)cancelcolor(black)(""^@"C")`

`~~146.54 \ "J"`