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?

1 Answer
Jun 24, 2018

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"#