# How do you determine the volume if 1.5 atm of gas at 20° C in a 3.0 L vessel are heated to 30° C at a pressure of 2.5 atm?

May 31, 2017

?? The volume is presumably constant..........

#### Explanation:

The problem has not been properly specified. You could have specified a gas in a PISTON, whose volume would decrease with increased pressure, and increase with increased temperature.

For such a system, we would use the $\text{combined gas law:}$

$\frac{{P}_{1} {V}_{1}}{T} _ 1 = \frac{{P}_{2} {V}_{2}}{T} _ 2$

Solving for ${V}_{2} = \frac{{P}_{1} {V}_{1}}{T} _ 1 \times {T}_{2} / {P}_{2}$

$= \frac{1.5 \cdot a t m \times 3.0 \cdot L \times 303 \cdot K}{293 \cdot K \times 2.5 \cdot a t m} \cong 1.9 \cdot L$