✔ 最佳答案
X(g) + 3Y(g) → 2Z
No. of moles of X = 40/24000 = 0.00167 mol
No. of moles of Y = 60/24000 = 0.0025 mol
Mole ratio X : Y = 1 : 3
When Y is completely reacted,
no. of moles of X needed = 0.0025 x (1/3) = 0.00083 mol
Therefore, X is in excess and Y is the limiting reactant.
No. of moles of X unreacted = 0.00167-0.00083 = 0.00084 mol
Volume of X unreacted = 0.00084 x 24000 = 20 cm3
Mole ratio Y : Z = 3 : 2
No. of moles of Y reacted = 0.0025 mol
No. of moles of Z formed = 0.0025 x (2/3) = 0.00167 mol
Volume of Z formed = 0.00167 x 24000 = 40 cm3
Volume of the resultant gaseous mixture
= (Volume of X unreacted) + (Volume of Z formed)
= 20 + 40
= 60 cm3
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Alternative method (a better method)
According to Avogadro’s law, under constant pressure and temperature, the volume ratio of gases is equal to the mole ratio.
X(g) + 3Y(g) → 2Z
Volume ratio X : Y = 1 : 3
When 60 cm3 of Y is completely reacted,
volume of X needed = 60 x (1/3) = 20 cm3
But there is 40 cm3 of X.
Hence, X is in excess, and Y is the limiting reactant.
Volume of X unreacted = 40 - 20 = 20 cm3
Volume ratio Y : Z = 3 : 2
Volume of Y reacted = 60 cm3
Volume of Z reacted = 60 x (2/3) = 40 cm3
Volume of the resultant gaseous mixture
= (Volume of X unreacted) + (Volume of Z formed)
= 20 + 40
= 60 cm3