Problem 104
Page 121
Section: Cumulative Problems
Chapter 3: Molecules, Compounds, and Chemical Equations
Given information
The percentage by mass of vanadium in its first oxide is
The percentage by mass of vanadium in its second oxide is
The percentage by mass of vanadium in its third oxide is
The percentage by mass of vanadium in its fourth oxide is
Step-by-step explanation
The percentage by mass of vanadium in its first oxide is That means in of its oxide, vanadium contains and oxygen contains In general the mass of vanadium in its first oxide is is and the mass of oxygen in its first oxide is .
The molar mass of vanadium is
The molar mass of oxygen is
The number of moles of vanadium in its first oxide is calculated by the formula,
....(1)
Where,
-
is mass of vanadium in its first oxide.
-
is molar mass of vanadium.
Substitute the values of and in equation (1),
The number of moles of oxygen in the first oxide of vanadium is calculated by the formula,
.....(2)
Where,
-
is mass of oxygen in the first oxide of vanadium.
-
is molar mass of vanadium.
Substitute the values of and in equation (2),
The ratio of moles of vanadium to oxygen is,
Simplify the above values,
The number of moles of both vanadium and oxygen are equal. Therefore, the formula of first oxide of vanadium is . The name of this oxide is vanadium monoxide.