Ratio of masses of H2SO4 and Al2 (SO4)3 is grams each containing 32 gr...
Given:
Mass of S = 32 g
To find:
Ratio of masses of H2SO4 and Al2(SO4)3 containing 32g of S
Solution:
Step 1: Calculate the number of moles of sulfur in 32g of S.
Molar mass of S = 32 g/mol
Number of moles of S = 32g / 32 g/mol = 1 mol
Step 2: Calculate the number of moles of oxygen in the given compound.
H2SO4:
Sulfur has a valency of 6 and oxygen has a valency of 2.
So, the number of oxygen atoms in H2SO4 = 4 x 2 = 8
Total valency of oxygen = 8 x 2 = 16
Valency of sulfur = 6
Hence, the number of oxygen atoms in H2SO4 = 16 / 6 = 2.67
Therefore, the number of moles of oxygen in H2SO4 = 2.67 mol
Al2(SO4)3:
Sulfur has a valency of 6 and oxygen has a valency of 2.
So, the number of oxygen atoms in Al2(SO4)3 = 3 x 4 x 2 = 24
Total valency of oxygen = 24 x 2 = 48
Valency of sulfur = 6
Hence, the number of oxygen atoms in Al2(SO4)3 = 48 / 6 = 8
Therefore, the number of moles of oxygen in Al2(SO4)3 = 8 mol
Step 3: Calculate the number of moles of H2SO4 and Al2(SO4)3 containing 1 mol of sulfur.
H2SO4:
Number of moles of H2SO4 containing 1 mol of sulfur = 1 mol S / 1 mol H2SO4 = 1 mol
Al2(SO4)3:
Number of moles of Al2(SO4)3 containing 1 mol of sulfur = 1 mol S / (2 mol Al2(SO4)3) = 0.5 mol
Step 4: Calculate the masses of H2SO4 and Al2(SO4)3 containing 32g of S.
H2SO4:
Mass of H2SO4 containing 32g of S = 1 mol H2SO4 x (2 mol H + 1 mol S + 4 mol O) x 1 g/mol = 98 g
Al2(SO4)3:
Mass of Al2(SO4)3 containing 32g of S = 0.5 mol Al2(SO4)3 x (2 x 27 + 3 x 32 + 12 x 16) g/mol = 342 g
Step 5: Calculate the ratio of masses of H2SO4 and Al2(SO4)3 containing 32g of S.
Ratio of masses of H2SO4 and Al2(SO4)3 = 98 g / 342 g = 0.286
Therefore, the correct option is (A) 0.86.
Ratio of masses of H2SO4 and Al2 (SO4)3 is grams each containing 32 gr...
A