What mass of a metal with specific heat of 0.27 J /g •c Will lose 47.3 Joules of heat as its temperature drops by15.0•c?

1 Answer
Apr 27, 2018

Around #11.7# grams.

Explanation:

We use the specific heat equation, which states that:

#q=mcDeltaT#

  • #m# is the mass of the substance

  • #c# is the specific heat capacity of the substance

  • #DeltaT# is the change in temperature

Rearranging for mass, we get:

#m=q/(cDeltaT)#

Inputting our given values, we get:

#m=(47.3color(red)cancelcolor(black)"J")/(0.27color(red)cancelcolor(black)"J""g"^-1color(red)cancelcolor(black)(""^@"C")^-1*15color(red)cancelcolor(black)(""^@"C"))#

#~~11.7 \ "g"#