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

Question

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

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Answer 1 · 2018-06-23T17:43:15

You must supply 3.64 kJ of heat.

The formula for the heat $q$ $q$ 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,

$m color(white)(mm)= "10.9 g"$

$Δ_text(fus)H = "333.55 J·g"^"-1"$

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