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Answer 1 · 2017-05-18T23:59:43

The heat required is a) 16.7 kJ.

The formula to calculate the amount of heat $q$ required to melt a substance is

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

where

$ncolor(white)(mml) =$ the number of moles and
$Δ_text(fus)H =$ the molar heat of fusion of the substance

Step 1. Calculate the moles of water

$n = 50.0 color(red)(cancel(color(black)("g water"))) × "1 mol water"/(18.02 color(red)(cancel(color(black)("g water")))) = "2.775 mol water"$

Step 2. Calculate the heat required

$q = 2.775 color(red)(cancel(color(black)("mol"))) × "6.02 kJ"/(1 color(red)(cancel(color(black)("mol")))) = "16.7 kJ"$