What volume of chlorine gas at 38oC and 1.63 atm is needed to react completely with 10.4 grams of sodium to form sodium chloride according to the following balanced equation: 2Na (s) + Cl2 (g) 2NaCl (s).

Respuesta :

5.5 litres is the volume of chlorine gas at 38oC and 1.63 atm is needed to react completely with 10.4 grams of sodium to form sodium chloride.

Explanation:

data given:

mass of sodium chloride in reaction = 10.4 grams

atomic mass of one mole of NaCl = 58.44 grams/mole

balanced equation for the reaction:

2Na (s) + Cl2 (g) 2NaCl (s).

number of moles = [tex]\frac{mass}{atomic mass of one mole}[/tex]

                              = [tex]\frac{10.4}{58.44}[/tex]

                              = 0.17 moles of Na in the reaction.

from the reaction,

2 moles of Na  reacted with 1 mole of Cl2

0.17 moles of Na reacted with x moles

[tex]\frac{2}{1}[/tex] = [tex]\frac{0.7}{x}[/tex]

x = 0.35 moles of chlorine gas reacted to form NaCl

To know the volume following equation will be used:

PV = nRT

V = [tex]\frac{nRT}{P}[/tex]          R=0.0826 L atm/Mole.K, T = 311.15, P= 1.63 atm, n= 0.35 moles

V = [tex]\frac{0.35 x 0.0826x311.15}{1.63}[/tex]

V = 5.5 litres is the volume of chlorine gas formed at given conditions.