Question

A 17.4 L sample of oxygen gas (O2) was collected at a temperature of 23.0°C and a pressure of 2.18 atmospheres. What volume would the gas occupy at STP?

Answer 1

The volume of the gas at STP = 35.01 L

Further explanation

Conditions at T 0 ° C and P 1 atm are stated by STP (Standard Temperature and Pressure).

In general, the gas equation can be written

`\large {\boxed {\bold {PV = nRT}}}`

where

P = pressure, atm

V = volume, liter

n = number of moles

R = gas constant = 0.08206 L.atm / mol K

T = temperature, Kelvin

V=17.4 L

T = 23 + 273 = 296 K

P = 2.18 atm

`\tt mol=n=(PV)/(RT)\\\\n=(2.18* 17.4)/(0.082* 296)\\\\n=1.563`

The volume of the gas occupy at STP :

`\tt 1.563* 22.4=35.01~L`