Answer:
95.91 g/mol
Step-by-step explanation:
You need to create an equation using the given information.
X + O₂ ⇒ X₂O₃
You now have to balance the equation
4 X + 3 O₂ ⇒ 2 X₂O₃
Using this information, you can solve for the molar mass of X. First, convert grams of O₂ to moles. The molar mass is 32.00 g/mol.
(27.5 g)/(32.00 g/mol) = 0.8594 mol O₂
Next, use the mole ratio in the chemical equation to convert moles of O₂ to moles of X.
0.8594 mol O₂ × (4 mol X/3 mol O₂) = 1.146 mol X
Now that you have the moles, divide the given grams of X by the calculated value of moles.
(109.9 g)/(1.146 mol) = 95.91 g/mol
The molar mass of element X is 95.91 g/mol.