Question #8b4e9

1 Answer
Feb 17, 2017

Answer:

The maximum mass of sodium that can be boiled is 114 g.

Explanation:

The amount of heat #q# required to vaporize a substance is given by the formula

#color(blue)(bar(ul(|color(white)(a/a) q =nΔ_"vap"H color(white)(a/a)|)))" "#

where

#n = "number of moles"#

#Δ_"vap"H = "enthalpy of vaporization"#

#n = q/( Δ_"vap"H)#

For sodium, #Δ_"vap"H = "97.7 kJ/mol"#

#n = (486 color(red)(cancel(color(black)("kJ"))))/(97.7 color(red)(cancel(color(black)("kJ")))·"mol"^"-1") = "4.974 mol"#

#"Mass of Na" = 4.974 color(red)(cancel(color(black)("mol"))) × "22.99 g"/(1 color(red)(cancel(color(black)("mol")))) = "114 g"#