# A gas takes up a volume of 17.5 liters, has a pressure of 2.31 atm, and a temperature of 299 K. lf the temperature is increased to 350 K and the pressure is decreased to 1.75 atm, what is the new volume of the gas?

Apr 17, 2017

Well, $\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$
${V}_{2} = \frac{{P}_{1} \times {V}_{1} \times {T}_{2}}{{T}_{1} \times {P}_{2}}$
$= \frac{2.31 \cdot a t m \times 17.5 \cdot L \times 350 \cdot K}{299 \cdot K \times 1.75 \cdot a t m} \le 30 \cdot L .$