Answer: 15.4 kJ
Step-by-step explanation:
Molar mass of CH2Cl2,
MM = 1*MM(C) + 2*MM(H) + 2*MM(Cl)
= 1*12.01 + 2*1.008 + 2*35.45
= 84.926 g/mol
Mass(CH2Cl2) = 41.4 g
Use:
number of mol of CH2Cl2,
n = mass of CH2Cl2/molar mass of CH2Cl2
= (41.4 g)/(84.93 g/mol)
= 0.4875 mol
Given:
ΔH = 31.6 KJ/mol
= 31600 J/mol
Use:
Q = ΔH * number of mol
= 31.6 KJ/mol * 0.4875 mol
= 15.4 KJ
Therefore, it takes 15.4 kJ of energy to vaporize 41. 4 g of CH₂Cl₂ at its boiling point