# Question #22d95

Jun 9, 2017

50 calories or 2,092 joules

#### Explanation:

For a pure condensed phase (i.e.; pure solid, pure liquid or pure gas phase substance ) the expression Q = mc$\Delta T$ is used to calculate the quantity of heat associated with the specified $\Delta T$ value given.
Q = Heat Quantity in calories or joules
m = mass (grams) of substance
c = specific heat = a constant that defines the amount of heat needed to raise one gram of substance by 1 degree celcius.
$\Delta T$ = change in temperature

For 10 ml water ( = 10 grams water b/c 1 g = 1 ml) heated by ${5}^{o} C$
& $c = 1.00 \left(\frac{\text{cal}}{g} ^ o C\right)$:

Q = mc$\Delta T$ = ($10 g$) $\times$1.00 ($\text{cal"/g^oC}$)$\times$ (${5}^{o} C$) = $50 \text{calories}$
=> $50 c a l \times 4.184 \text{joules"/"cal}$ = $2 , 029 \text{joules}$