It would take + 7 joules if the starting temperature is = to 25 degrees Celsius. To raise the temperature by 1 it would take 7 joules.
1 degree = +7 joules
25 degrees = +175 Joules.
7 joules + 175 joules = 182 Joules
So the bar of gold will have to be 182 Joules to reach 26 degrees Celsius.