# How much energy would it take to heat 10 g of water from 10 to 15 C?

May 18, 2017

It would take $\text{200 J}$ of energy.

#### Explanation:

Use the following equation:

$Q = m c \Delta T$,

where $Q$ is energy gained or lost in Joules (J), $m$ is mass, $c$ is the specific heat capacity of the substance undergoing a temperature change, and $\Delta T$ is change is temperature, which is $\left({T}_{\text{final"-T_"initial}}\right)$.

color(blue)("Organize your data".

Given/Known
$m = \text{10 g}$
c_"water"=(4.184 "J")/("g"*""^@"C")
DeltaT=(15^@"C"-10^@"C")=5^@"C"

Unknown: Q

color(blue)("Solution"
Insert your data into the equation and solve for $Q$.

$Q = 10 \text{g"xx(4.184"J")/("g"*""^@"C")xx5^@"C"="200 J}$ rounded to one significant figure