**Problem:**

It takes 487.5 J to heat 25 grams of copper from 25 °C to 75 °C. What is the specific heat in Joules/g·°C?

**Solution:**

Use the formula

q = mcΔT

where

q = heat energy

m = mass

c = specific heat

ΔT = change in temperature

487.5 J = (25 g)c(75 °C - 25 °C)

487.5 J = (25 g)c(50 °C)

Solve for c:

c = 487.5 J/(25g)(50 °C)

c = 0.39 J/g·°C

**Answer:**

The specific heat of copper is 0.39 J/g·°C.