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 $\_\_\_\_$ $\times 10^{-3} \mathrm{~min}^{-1}$.
(Nearest integer)
[Use: In $10=2.303 ; \log _{10} 3=0.477$;
property of logarithm: $\left.\log x^y=y \log x\right]$