Question

A steel reaction vessel of a bomb calorimeter has a volume of 0.217 L, is charged with oxygen gas to a pressure of 84.8 atm at 21.6oC. Calculate the moles of oxygen in the reaction vessel.

Answer 1

Answer : The number of moles of oxygen in the reaction vessel is, 0.761 mole.

Explanation :

To calculate the number of moles of oxygen gas we are using ideal gas equation as follows:

`PV=nRT`

where,

P = Pressure of
`O_2` gas = 84.8 atm

V = Volume of
`O_2` gas = 0.217 L

n = number of moles
`O_2` = ?

R = Gas constant =
`0.0821L.atm/mol.K`

T = Temperature of
`O_2` gas =
`21.6^oC=273+21.6=294.6K`

Now put all the given values in above equation, we get:

`84.8atm* 0.217L=n* (0.0821L.atm/mol.K)* 294.6K`

`n=0.761mol`

Therefore, the number of moles of oxygen in the reaction vessel is, 0.761 mole.