A rigid cylinder initially contains a gas that is pressurized to $3$atm. The gas is slowly released to the surroundings at a rate that is proportional to the excess pressure above atmosphere. If it takes $1$min for the gas pressure to reduce to $2$atm, how long does it take for the gas pressure to reduce to $1\mathrm{.}01$atm $?$ Assume that the gas is ideal and its release occurs at a constant temperature.