How much heat is needed to raise the temperature of 25 g of a substance by 15°C when the specific heat is .92 J/g-°C?

Mar 18, 2018

It will require $\text{350 J}$ of heat energy to raise the temperature of the substance under the given conditions.

Explanation:

Use the following equation:

$q = c m \Delta t ,$

where:

$q$ is heat energy, $c$ is specific heat, $m$ is mass, and $\Delta t$ is the change in temperature. $\Delta t = {T}_{\text{final"-T_"initial}}$

Organize the data:

Known

$c = \left(\text{0.92 J")/("g"*""^@"C}\right)$

$m = \text{25 g}$

$\Delta t = \text{15"^@"C}$

Unknown

$q$

Solution

Plug in the known values and solve for $q$.

q=("0.92 J")/(color(red)cancel(color(black)("g"))*""^@color(red)cancel(color(black)("C")))xx25color(red)cancel(color(black)("g"))xx"15"^@color(red)cancel(color(black)("C"))="350 J" (rounded to two significant figures)