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Chemical Kinetics

Question
CBSEENCH12010990

At 5180C the rate of decomposition of a sample of gaseous acetaldehyde initially at a pressure of 363 Torr, was 1.00 Torr s–1 when 5% had reacted and 0.5 Torr s–1 when 33% had reacted. The order of the reaction is

  • 0

  • 2

  • 3

  • 1

Solution

B.

2

CH3CHO     CH4 + CO

r1 = 1 torr sec–1 , when 5% reacted (95% unreacted)

r2 = 0.5 torr sec–1 , when 33% reacted (67% unreacted)
r ∝ (a – x)m

Where,

m = order of reaction
a–x = unreacted

r1r2 = (a-x1)(a-x2)m10.5 = 0.950.67m2 = (1.41)m 2 = (2)m m = 2