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Question

(a) A flask contains 3.2 g of sulphur dioxide. Calculate the following :
(i) The moles of sulphur dioxide present in the flask.
(ii) the number of molecules of sulphur dioxide present in the flask.
(iii) the volume occupied by 3.2 g of sulphur dioxide at STP.
(S = 32, O = 16)
(b) A n experiment showed that in a lead chloride solution 6.21 g of lead is combined with 4.26 g of chlorine. What is the empirical formula of this chloride?
(Pb = 2107; Cl = 35.5).

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Solution

A)
The molar mass of SO2 is 64 g m o l to the power of negative 1 end exponent
​1. Number of moles of SO2 in flask = Given mass of SO2/Molar mass
=fraction numerator 3.2 g over denominator 64 space g m o l to the power of negative 1 end exponent end fraction
= 0.05 moles
2. Number of molecules of SO2 = Number of moles x Avogadro Number
= 0.05 x 6.022 x10 to the power of 23
= 3.01 x 10 to the power of 22 molecules of S O subscript 2
​3. Volume occupied by the SO2 at S.T.P : PV = nRT (1)
​P = 1 atm
​n = 0.05 moles
R = 0.0821 L atm m o l to the power of negative 1 end exponent k to the power of negative 1 end exponent
T = 273 K
Putting the values in eq (1) we get
V =fraction numerator 0.05 cross times 0.0821 cross times 273 over denominator 1 end fraction
= 1.12 L
OR
Volume occupied of 1 mole of gas at STP = 22.4 L
Therefore volume occupied by 0.05 mole of gas = 22.4 L x 0.05
= 1.12 L
​b) Wt. of Pb=6.21g

Wt. of Cl= 4.26g

total wt. = 10.47

Therfore,percentageofPb=6.21÷10.47×100=59.3

percentageofCl=4.27÷10.47×100=40.69

element % At. Wt. Relative ratio Simple ratio
Pb 59.7 207 59.7/207=0.286 0.286/0.286=1
Cl 40.69 35.5 40.69/35.5=1.46 1.46/0.286=4

therefore,empiricalformula=PbCl4


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