Question

Using Avogadro's hypothesis prove that M=2D

Answer 1

Answer:

H2

= the mass of one molecule of gas / the mass of 2 molecules of H atoms

= 1/2 X the mass of one molecule of gas / the mass of one H atom

= 1/2 X the molecular mass of gas

= 1/2 X M

If I put the value in the equation above I get

D = one molecule of gas / 2 molecules of H atoms

= 2.016 / 1.008 X 1.008

= 2.016 / 2.016

= 1

Explanation:

1. Homework Statement

How to prove M = 2.016 X D (M = 2D) if the atomic weight of Hydrogen is 1.008

2. Homework Equations

How to prove M = 2.016 X D (M = 2D).if the atomic weight of Hydrogen is 1.008

3. The Attempt at a Solution

As I know,

D = the mass of one molecule of gas / the mass of one molecule of H2

Answer 2

According to Avogadro's hypothesis Molecular mass (M) = 2*(vapor density)D

• According to Avogadro's Hypothesis.
• Vapour Density of gas = $\frac{mass\ of\ n\ molecules\ of\ gas\ at\ v}{mass\ of\ n\ molecules\ of\ hydrogen\ at\ v}$
•                                        = $\frac{molecular\ mass\ of\ gas\ at\ v}{Molecular\ mass\ of\ hydrogen\m at\ v}$
•                                        = $\frac{M}{2}$
• (As we know molecular mass of hydrogen = 2
• ∴ V =  M/2
• Or, We can say that the relationship between molecular mass and vapour density is
• Molecular mass (M) = 2D
• Where D is vapor density

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