Answer : The mass of oxygen consumed in the reaction is 14.6 grams.
Explanation :
First we have to calculate the change in moles of oxygen.
Formula used :
or,
where,
w = work done = 850.1 J
= change in moles of gas = ?
R = gas constant = 8.314 J/mol.K
T = temperature = 675 K
Now put all the given values in the above formula, we get:
Now we have to calculate the mass of oxygen consumed.
The balanced chemical reaction is,
Here, the volume changes of solids can be ignored.
From the balanced chemical reaction, we conclude that
The number of moles oxygen required for the complete reaction = 3
Change in mole of oxygen = 0.152 mol
Molar mass of = 32 g/mol
So,
The mass of oxygen consumed = 3 x 0.152 mol x 32 g/mol = 14.6 g
Therefore, the mass of oxygen consumed in the reaction is 14.6 grams.