MEDIUM
JEE Main
IMPORTANT
Earn 100

A bacterial infection in an internal wound grows as N't=N0exp(t) , where the time t is in hours. A dose of antibiotic, taken orally, needs 1 hour to reach the wound. Once it reaches there, the bacterial population goes down as dNdt=-5N2 . What will be the plot of N0N vs t after 1 hour?

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Important Questions on Chemical Kinetics

MEDIUM
JEE Main
IMPORTANT

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: ln10=2.303 and log2=0.3010)

HARD
JEE Main
IMPORTANT
For a given chemical reaction γ1A+γ2Bγ3C+γ4D. Concentration of C changes from 10 mmol dm-3 to 20 mmol dm-3 in 10 s. Rate of appearance of D is 1.5 times the rate of disappearance of B which is twice the rate of disappearance A. The rate of appearance of D has been experimentally determined to be 9 mmol dm-3s-1. Therefore the rate of reaction is____mmol dm-3s-1. (Nearest Integer)
MEDIUM
JEE Main
IMPORTANT
Catalyst A reduces the activation energy for a reaction by 10 kJ mol-1 at 300 K. The ratio of rate constants, kCatalysedk Uncatalysed is ex. The value of x is____[nearest integer] [Assume that the pre-exponential factor is same in both the cases. Given R=8.314 J K-1 mol-1]
MEDIUM
JEE Main
IMPORTANT
A flask is filled with equal moles of A and B. The half lives of A and B are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be four times that of B is____s.
(Given : ln2=0.693)
MEDIUM
JEE Main
IMPORTANT
It has been found that for a chemical reaction with rise in temperature by 9 K the rate constant gets doubled. Assuming a reaction to be occurring at 300 K, the value of activation energy is found to be kJmol-1. [nearest integer] (Given ln10=2.3,R=8.3 J K-1 mol-1,log2=0.30)
HARD
JEE Main
IMPORTANT
For a first order reaction AB, the rate constant, k=5.5×10-14 s-1. The time required for 67% completion of reaction is x×10-1 times the half life of reaction. The value of x is_________ (Nearest integer) (Given : log3=0.4771)
MEDIUM
JEE Main
IMPORTANT
A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is____(Nearest integer)
(Given : antilog 0.125=1.333, antilog 0.693=4.93)
HARD
JEE Main
IMPORTANT
The activation energy of one of the reactions in a biochemical process is 532611 J mol-1. When the temperature falls from 310 K to 300 K, the change in rate constant observed is k300=x×10-3k310°. The value of x is
[Given: ln10=2.3 R=8.3 J K-1 mol-1]