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Question

Concentrated nitric acid oxidises phosphorus to phosphoric acid according to the following equation:
P+5HNO3H3PO4+5NO2+H2O
If 6.2 g of phosphorus was used in the reaction, calculate:

(a) The number of moles of phosphorus taken and mass of phosphoric acid formed.
(b) Mass of nitric acid consumed at the same time.
(c) The volume of steam produced at the same time if measured at 760 mm Hg pressure and 273C.

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Solution

left parenthesis a right parenthesis 1 space m o l e space o f space p h o s p h o r u s space a t o m space equals 31 g space o f space p h o s p h o r u s space 31 g space o f space P space equals 1 space m o l e space o f space P 6.2 g space o f space P space equals fraction numerator 6.2 cross times 1 over denominator 31 end fraction equals 0.2 space m o l e s space o f space P left parenthesis b right parenthesis 31 g space P space r e a c t s space w i t h space H N O subscript 3 space equals 315 g s o space comma space 6.2 space g space P space w i l l space r e a c t space w i t h space H N O subscript 3 space equals 315 cross times fraction numerator 6.2 over denominator 31 end fraction equals 63 g left parenthesis c right parenthesis M o l e s space o f space s t e a m space f o r m e d space f r o m space 31 g space p h o s p h o r u s space equals 18 over 18 equals 1 m o l m o l e s space o f space s t e a m space f o r m e d space f r o m space 6.2 space g space p h o s p h o r u s space equals fraction numerator 6.2 over denominator 31 end fraction equals 0.2 space m o l V o l u m e space o f space s t e a m space p r o d u c e d space a t space S T P space equals 0.2 cross times 22.4 equals 4.48 l i t r e S i n c e space t h e space p r e s s u r e space left parenthesis 760 comma comma right parenthesis space r e m a i n s space c o n s tan t space comma b u t space t h e space t e m p e r a t u r e space left parenthesis 273 plus 273 right parenthesis space equals 546 space i s space d o u b l e space comma t h e space v o l u m e space o f space s t e a m space a l s o space g e t s space d o u b l e d space s o space comma space v o l u m e space o f space s t e a m space p r o d u c e d space a t space 760 m m space H g space a n d space 273 degree c space equals 4.48 cross times 2 equals 8.96 space l i t r e

Volume is directly proportional to temperature at constant pressure(charles law).
(a) 1 mol of phosphorus forms 1 mol of phosphoric acid. Thus 0.2 mol of phosphorus will form 0.2 mol of phosphoric acid.
1 mol of phosphoric acid = (3 + 31 + 64) g = 98 g
0.2 mol of phosphoric acid = 98×0.2 = 49 g


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