what mass of a sample of gold requires 1.75 kJ to change its temperature from 28.2 degrees Celsius to 89.5 degrees Celsius?

The equation needed is

q=mc∆T

where

q=1.75 kJ =1750 j
m=?
c=0.129 J/g ºC

∆T=89.5ºC-28.2ºC=61.3ºC

Solve for m,

q/c∆T=m

1750 j/[0.129 J/g ºC*(61.3ºC)]=m