The inactivation rate of 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 ______ \( \times 10^{-3} \, \text{min}^{-1} \). (Nearest integer). [Use: \( \ln 10 = 2.303 \); \( \log_{10} 3 = 0.477 \); property of logarithm: \( \log x^{y} = y \log x \) ]
