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^$-$3 min^$-$1. (Nearest integer)

[Use : ln 10 = 2.303; log₁₀ 3 = 0.477; property
of logarithm : log x^y = y log x]