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← JEE Main 2022 · 25 Jun · Shift 2
ChemistryInteger+4 / -1Question 84 of 90

JEE Main 2022 · 25 Jun · Shift 2, Chemistry question 84

At 345 K, the half life for the decomposition of a sample of a gaseous compound initially at 55.5 kPa was 340 s. When the pressure was 27.8 kPa, the half life was found to be 170 s. The order of the reaction is ______. [integer answer]

Answer and worked solution

Official answer: 0

Half-life and pressure. Halving the pressure (55.5 → 27.8 kPa) halves t1/2t_{1/2} (340 → 170 s), so t1/2∝P0t_{1/2}\propto P_0.

Order. t1/2∝P01−nt_{1/2}\propto P_0^{1-n} gives 1−n=11-n=1, n=0n=0.

Answer: 0