# Gases are sold in large cylinders for laboratory use. What pressure in atmospheres will be exerted by 2500 g of oxygen gas (O2) when stored at 22°C in a 40.0 L cylinder?

Dec 9, 2016

47.3 atm

#### Explanation:

Assuming near ideal gas behavior where $n = \frac{P V}{R T}$, with a constant volume, we use the given values with the appropriate gas constant value R to find the pressure.
Rearranging the equation we have $P = \frac{n \cdot R \cdot T}{V}$
V = 40.0 L
R = 0.0820575 L-atm/K-mol
T = 22'C = 295'K
n = (2500g/32.0 g/mol) = 78.125 moles of ${O}_{2}$.

$P = \frac{78.125 \cdot 0.0820575 \cdot 295}{40.0}$

P = 47.3atm