If 86 J of heat are added to a pure gold coin with a mass of 17 g , what is its temperature change? Specific heat capacity of gold is 0.128 J/g∘C.

Question

If 86 J of heat are added to a pure gold coin with a mass of 17 g , what is its temperature change? Specific heat capacity of gold is 0.128 J/g∘C.

Answer 1

q = mC∆T

q = heat = 86 J

m = mass = 17 g

C = specific heat = 0.128 J/g-degree

∆T = change in temperature

86 J = (17 g)(0.128 J/g-degree)(∆T)

∆T = 86 J/(17 g)(0.128 J/g-degree)

∆T = 39.5 degrees = +40ºC (it is a positive change in temperature since heat is added to the gold)