Question

Question #fb2c9

Answer 1

The heat required is a) 16.7 kJ.

Explanation:

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"`