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At 100oC, the gaseous reaction A ® 2B + C is found to be first order. On starting pure A, it is found that at the end of 10 minutes the total pressure of system is 176.0 mm of Hg. After a long time the pressure = 270.0 mm Hg. The partial pressure of A at end of 10 minutes is (in mm of Hg)
(A) 43
(B) 47
(C) 94
(D) 86
For the reaction,
A 2B + C
Initial pressure po 0 0
After 10 min Po−x 2x x
After long time − 2po po
Since p no. of moles and after long time only B and C are formed, A has completely disappeared \ pressure of 270 mm is for 3 moles of gaseous products.
or p due to one mole = 270/3 = 90 mm
Hence initial pressure = 90 mm
\ pressure at 10 min = 176 = 90−x + 2x + x
or x=(176-90)/2=43 mm
or Pressure due to A to 10 minutes = 90 – 43
= 47 mm
b
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