Two oxides of a metal contain 27.6% and 30% of oxygen respectively.If the formula of the first compound is M3O4, then find the formula of second compound?

Question

Answer

Given that, formula of first oxide=M3O4
Let mass of the metal = x
% of metal in M3O4 =3x+643x×100
But as given % age =(100−27.6)=72.4%
so, 3x+643x×100 = 72.4
or x=56.
In 2nd oxide,
Given, oxygen = 30%, So metal = 70%
So, the ratio is
M:O=5670:1630
⟹1.25:1.875
⟹2:3
So, 2nd oxide is M2O3

Answer

Answer

Solution:

Given data:
- Percentage of oxygen in the first compound = 27.6%
- Percentage of oxygen in the second compound = 30%
- Formula of the first compound = M3O4

Finding the formula of the second compound:
- Let's assume the second compound has the formula MOx.
- From the given data, we know that the percentage of oxygen in the second compound is 30%.
- This means that the percentage of the metal in the second compound is 100% - 30% = 70%.

Calculating the ratio of metal to oxygen in the second compound:
- In the first compound M3O4, the ratio of metal to oxygen is 3:4.
- For the second compound MOx, the ratio of metal to oxygen is 1:x.
- Since the total percentage of the second compound is 100%, we can set up a proportion:
- (1 / x) = (70 / 30)
- x = 30 / 70
- x = 0.4286 (rounded to 4 decimal places)

Deriving the formula of the second compound:
- Since x is approximately 0.4286, we can round it to 1/3 to get a whole number ratio.
- Therefore, the formula of the second compound is MO3.

Conclusion:
- The formula of the second compound with 30% oxygen content is MO3.

Similar Class 10 Doubts

You havebeen provided with three test tubes. One of them contains distilledwater and the other two contain an acidic solution and a basicsolution, respectively. If you are given only red litmus paper, howwill you identify the contents of each test tube?

Two tankers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of times?

A compound contain 4.07% H, 24.27% C and 71.65% Cl. Molar mass of compound is 100g. What is its empherical formula?

Two tankers contain 850 litres and 680 litres of kerosene oil respectively. Find the maximum capacity of a container which can measure the kerosene oil of both the tankers when used an exact number of t?

Top Courses for Class 10View all

Science Class 10

Social Studies (SST) Class 10

Mathematics (Maths) Class 10

English Grammar Advanced

English Grammar Basic

Top Courses for Class 10

Top Courses for Class 10

Suggested Free Tests

Related Content

About Class 10

Class 10 Study Material

Class 10 All Subjects

NCERT Textbook Solutions

Other Classes

Important Links

Company