When the ideas from Boyle$$s Law, Charles$$ Law and Gay$-$Lussac$$s Law are combined, you get the combined gas law. This law combines the effects of pressure, temperature and volume changes on a gas.

Remember the combined gas law is P$$V$/$T$=$ P$$V$/$T$$ Imagine an ideal gas in a cylinder with a piston, starting at a pressure of $1\mathrm{.}00$ atm and a volume of $10\mathrm{.}0$ L at $298\mathrm{.}15$ K$.$ This system is cooled to $273\mathrm{.}15$ K and compressed to $7\mathrm{.}40$ L$.$

What is the final pressure in the cylinder, in atm?