# Under constant temperature, a 5.00*L volume of gas at 1*atm pressure is compressed to 3.00*L. What is the new pressure?

##### 1 Answer
Nov 14, 2015

${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$ (Boyle's law, pressure is inversely proportional to volume at constant temperature.)

#### Explanation:

${P}_{2} = \frac{{P}_{1} {V}_{1}}{V} _ 2$ $=$ $\frac{1 \cdot a t m \times 5.00 L}{3.00 L}$ $=$ $\left(\frac{5}{3} a t m\right)$.

Here I have used non-standard units. I am free to do so as long as I do so consistently. (Note that a pressure measurement of 760 mm Hg is equivalent to 1 atmosphere).