# Neon gas has a volume of 2,000ml with an atm of 1.8, however if the pressure decreases to 1.3atm, what is now the volume of the neon gas?

May 31, 2018

Approximately $2769 \setminus \text{mL"~~2.77 \ "L}$.

#### Explanation:

I'm assuming that there's no change in temperature. Then we can use Boyle's law, which states that,

$P \propto \frac{1}{V}$ or ${P}_{1} {V}_{1} = {P}_{2} {V}_{2}$

So, we get:

$1.8 \setminus \text{atm"*2000 \ "mL"=1.3 \ "atm} \cdot {V}_{2}$

${V}_{2} = \left(1.8 \textcolor{red}{\cancel{\textcolor{b l a c k}{\text{atm"*2000 \ "mL")/(1.3color(red)cancelcolor(black)"atm}}}}\right)$

$\approx 2769 \setminus \text{mL}$