A metal with a specific heat of 0.780J/g℃ requires 45.0J of heat to raise the temperature by 2.00℃. What is the mass of the metal?

Question

I would appreciate someone helping me out with this! Thank you.

Answer 1

Q = mC_pΔT where Q is the energy in heat (joules), m is the mass (grams), Cp is the specific heat capacity (J/g/°C), and ΔT is the change in temperature (T₂ - T₁) in °C.

So, since Q = mC_pΔT then m = Q/(C_pΔT) or (45.0)/(0.780•2.00) = 45/1.56 = 28.846 grams. Since there are 3 sig figs, we round to:

m = 28.8 g