1.

1. State the Avogadro law. 2. Give the mathematical expression of this law. 3. What is the value of molar volume of an ideal gas at 273.15 K and 1 bar? 4. Show that, at constant temperature and pressure, the density of an ideal gas is proportional to its molar volume.

Answer»

1. It states that equal volumes of all gases under the same conditions of temperature and pressure contain equal number of molecules.

2. v ∝ n (at constant P and T) 

⇒ V = k × n where k is a proportionality constant..

3. 22.71098 L 

4. According to Avogadro law, for n moles of an ideal gas, 

V = k × n 

But n = \(\frac{m}{M}\) where m is the mass of the gas and M is its molar mass. 

Thus, V = k × \(\frac{m}{M}\) 

On rearranging the above equation, 

M = k × \(\frac{m}{V}\) = k × d 

⇒ M ∝ d



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