This type of question is treated as an ideal condition.
We know that,
Molar volume of gas at STP = 22.4L/mol
Volume of methane = 24.5L
Volume of chlorine = 32.2L
(Number of moles of gass = (volume of gas)/(Molar volume of gas)
(Volume of gas = (number of moles of gas)(molar volume of gas)
step (1) Calculation for number of moles of reactant
Number of moles of methane = (24.5L)/(22.4L/mol)
Number of moles of methane = 1.094mol
Number of moles of chlorine = (32.2L)/(22.4L/mol)
Number of moles chlorine = 1.437mol
Step(2) calculation for number of moles of products
Chemical reaction is
CH4(g) + Cl2 (g) ----------------> CH3Cl(g) + HCl(g)
From the stoichiometry of chemical reaction
1 mol methane gas react with 1 mol chlorine and produced 1mol chloromethane(CH3Cl) and 1mol HCl gas
So,
1.094 mol of methane react with 1.094 mol of chlorine and produced 1.094 mol of chloromethane and 1.094 mol of HCl.
Hence,
Number of moles of chloromethane = 1.094mol
Number of moles of HCl = 1.094mol.
Step (3) Calculation for volume of products.
Volume of chloromethane = (1.094mol)(22.4L/mol)
volume of Chloromethane = 24.5L
volume of HCl = (1.094mol)(22.4L/mol)
Volume of HCl = 24.5L
step(4) Calculation for total volume of products
total volume of products = volume of Chloromethane + volume of HCl
Total volume of Products = 22.5L + 22.5L
Total volume of Products = 45.0L
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