The heat of fusion for water is 80. cal/g. How many calories of heat are needed to melt a 35 g ice cube that has a temperature of 0 C?

1 Answer
Jul 11, 2016

Answer:

You need #2.8 × 10^3 color(white)(l)"cal"# to melt the ice cube.

Explanation:

The formula for the heat required to melt a solid is

#color(blue)(|bar(ul(color(white)(a/a) q= mΔ_"fus"H^°color(white)(a/a)|)))" "#

where

#q = "the amount of heat"#
#m = "the mass of the solid"#
#Δ_"fus"H^° = "the enthalpy of fusion"#

#m = "35 g"#
#Δ_"fus"H^° = "80. cal·g"^"-1""#

#q = 35 color(red)(cancel(color(black)("g"))) × "80. cal"·color(red)(cancel(color(black)("g"^"-1"))) = 2bar8 00color(white)(l) "cal" = 2.8 × 10^3 color(white)(l)"cal"#