10.0dm3 of air containing H2S as an impurity was passed through a solution of Pb(NO3)2 until all the H2S had reacted. The precipitate of PbS was found to weight 5.02g. According to the equation:
Pb(NO3)2 + H2S→PbS+2HNO3 the percentage by volume of hydrogen sulphide in the air is
A. 50.2
B. 47.0
C. 4.70
D. 0.47
[Pb(NO3)2=207, S=32, GMV at s.t.p.=22.4dm3]
The correct is C. 4.70
Calculation:
First, find the amount of PbS formed.
Molar mass of PbS
= Pb + S = 207 + 32 = 239 g mol⁻¹
Moles of PbS formed
5.02/{239 = 0.021 mol
From the equation:
Pb{NO}3)2 + {H2S}→{PbS} + 2{HNO}3
The mole ratio of H₂S : PbS = 1 : 1, so:
Moles of H₂S = 0.021 mol
Volume of H₂S at STP
Volume = 0.021 * 22.4 = 0.470 dm^3
Percentage by volume of H₂S in air
{0.470}/{10.0} * 100 = 4.70%
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