# The specific heat of silver is 0.24 J/g°C. How many joules of energy are needed to warm 7.37 g of silver from 25.0°C to 27.5°C?

Jan 16, 2017

The amount of energy required is $\text{4.4 J}$.

#### Explanation:

The equation to use for this problem is written below. We need to determine which variables are known, and which is unknown. Then substitute the known values into the equation and solve.

Known
c="0.24 J/g"^@"C")
$m = \text{7.37 g}$
${T}_{i} = {25.0}^{\circ} \text{C}$
${T}_{f} = {27.5}^{\circ} \text{C}$
$\Delta T = {T}_{f} - {T}_{i} = {27.5}^{\circ} \text{C"-25.0^@"C"=2.5^@"C}$

Unknown: $Q$

Solution
Q=("0.24 J"/(cancel"g"^@cancel"C"))(7.37cancel"g")(2.5^@cancel"C")="4.4 J" rounded to two significant figures