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← JEE Main 2022 · 24 Jun · Shift 2
ChemistrySingle correct+4 / -1Question 65 of 90

JEE Main 2022 · 24 Jun · Shift 2, Chemistry question 65

For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction. The value of 'x' is

(Given: ln⁡10=2.303\ln10=2.303 and log⁡2=0.3010\log2=0.3010)

Choose one option
Answer and worked solution

Official answer: C

First order. t90%=2.303klog⁡10=2.303kt_{90\%}=\dfrac{2.303}k\log10=\dfrac{2.303}k and t1/2=2.303log⁡2kt_{1/2}=\dfrac{2.303\log2}k.

Ratio. x=1log⁡2=10.3010≈3.32x=\dfrac1{\log2}=\dfrac1{0.3010}\approx3.32.

(C)