Thermochemistry Calculations?

If the specific heat of water is 4.184 J/g.C degrees, how much energy is needed to raise the temperature of a 50 gram sample of water 12 degrees C?

May 8, 2018

$3000 J$ or $3 k J$

Explanation:

Use $q = m c \Delta T$ for equations like these.
$q$ = Energy/heat
$m$ = Mass
$c$ = Specific Heat
$\Delta T$ = Change in temperature.

Insert your values, and you are given:

q = "50g" * "4.184J/g°C" * 12°C

Our grams and °C cancel out:

$q = 50 \cdot \text{4.184J} \cdot 12$

$q = 2510.4 J$

After applying sig figs, we get 3000J, or 3kJ of energy.