# How many kilojoules of hear are required to melt a 10.9 gram Popsicle at 0 degrees Celsius & 101.3 kPa? Assume the Popsicle has the same molar mass and heat capacity of water

## I know the answer is 334 KJ but I don't know how to get it.

Jun 23, 2018

You must supply 3.64 kJ of heat.

#### Explanation:

The formula for the heat $q$ required to melt a substance is

color(blue)(bar(ul(|color(white)(a/a)q = mΔ_text(fus)Hcolor(white)(a/a)|)))" "

where

"mcolor(white)(mm) = the mass of the substance

Δ_text(fus)H =  its enthalpy of fusion

In this problem,

$m \textcolor{w h i t e}{m m} = \text{10.9 g}$

Δ_text(fus)H = "333.55 J·g"^"-1"

q = 10.9 color(red)(cancel(color(black)("g"))) × "333.55 J·"color(red)(cancel(color(black)("g"^"-1")))= "3640 J = 3.64 kJ"