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The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, 10% of the virus is inactivated. The rate constant for viral inactivation is ______ × 10^-3 min^-1. (Nearest integer) [Use : ln 10 = 2.303 ; log10 3 = 0.477, property of logarithm : log x^y = y log x]
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- 4
Correct answer: 4
Solution
The inactivation of the virus follows first-order kinetics, where the rate constant can be calculated using the formula k = -ln(1 - fraction inactivated) / time. Given that 10% of the virus is inactivated in one minute, the calculation yields a rate constant of approximately 4 × 10^-3 min^-1.
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