A sample of gas originally at $29\mathrm{.}2C$ and $1\mathrm{.}847$atm pressure in a $5\mathrm{.}53L$ container is allowed to expand until the pressure is $0\mathrm{.}357$atm and the temperature is $23\mathrm{.}6C.$ The final volume of the gas is L$.$

Record your answer with $3$ significant figures.