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Question

(a) Concentrated nitric acid oxidises phosphorus to phosphhoric acid according to the following equation;
P+5HNO3(conc.)H3PO4+H2O+5NO2
If 9.3 g of phosphorus was used in the reaction, calculate;
(i) Number of mles of phosphorus take.
(ii) The mass of phosphoric acid formed.
(iii) The volume of nitrogen dioxide produced at STP.
(b) (i) 67.2 Litres of hydrogen combines with 44.8 letres of nitrogen to form ammonia under specific conditions as:
N_2(g) +3H_2(g) \rightarrow 2NH_3(g)
Calculate the volume of ammonia produced.
What is the other substance, if any that remains in the resultant mixture?
(ii) The mass of 5.6dm3 of a certain gas at STP is 12.0 g. Calculate the relative molecular mass of the gas.
(iii) Find the total percentage of Magnesium in magnisum nitrate crystals, Mg(NO3)2.6H2O.
[Mg=24,N=14,O=16andH=1]

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Solution

a)

P plus 5 H N O subscript 3 rightwards arrow H subscript 3 P O subscript 4 plus H subscript 2 O plus 5 N O subscript 2 31 space space space space space space space space space space space space space space space space space space 98 space space space space space space space space space space space space space space space space space space space 5 cross times 22.4 equals 112 l i right parenthesis n o space o f space m o l e s space o f space P equals fraction numerator 9.3 over denominator 31 end fraction equals 0.3 space m o l e s i i right parenthesis m a s s space o f H subscript 3 P O subscript 4 i f space 31 space g m space o f space P space p r o d u c e s space 98 space g m space o f space H subscript 3 P O subscript 4 t h e n 9.3 space g space o f space P space p r o d u c e s equals 98 over 31 cross times 9.3 equals 29.34 equals 29.3 g m i i i right parenthesis v o l u m e space o f space n i t r o g e n space d i o x i d e space a t space S T P i f space 31 g m space o f space P space r e l e a s e space 112 l space o f space N O subscript 2 space a t space S T P t h e n space 9.3 space g m space o f space P space r e l e a s e s equals 112 over 31 cross times 9.3 equals 33.59 equals 33.6 l

b) N2(g)+3H2(g)2NH3(g)

1:32

if1volofN2gives2volofNH3

then, 44.8lofN2gives=2÷1x44.8=89.6l

ii)volumeofthegasatSTP=5.6dm3=5.6l

mass of the gas = 12.0gm

volofSTP=mass÷molecularmass×22.4

5.6l=12÷mol.mass×22.4

molecularmass=12×22.4÷5.6=48gm

iii) Mg(NO3)2.6H2O.
[Mg=24,N=14,O=16andH=1]
percentageofMg=24÷256×100=9.37%


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