For many purposes we can treat nitrogen $(N_2)$ as an ideal gas at temperatures above its boiling point of $-196.C.$

Suppose the temperature of a sample of nitrogen gas is raised from $-23\mathrm{.}0C$ to $15\mathrm{.}0C,$ and at the same time the pressure is changed. If the initial pressure was $4\mathrm{.}6$atm and the volume increased by $35\mathrm{.}0\%,$ what is the final pressure? Round your answer to $2$ significant digits.