Question

derive an expression for Avogodro's hypotheosis
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Answer 1

Answer:

Avogadro’s law can be derived from the ideal gas equation, which can be expressed as follows:

PV = nRT

Where,

• ‘P’ is the pressure exerted by the gas on the walls of its container
• ‘V’ is the volume occupied by the gas
• ‘n’ is the amount of gaseous substance (number of moles of gas)
• ‘R’ is the universal gas constant
• ‘T’ is the absolute temperature of the gas

Rearranging the ideal gas equation, the following equation can be obtained.

V/n = (RT)/P

Here, the value of (RT)/P is a constant (since the temperature and pressure kept constant and the product/quotient of two or more constants is always a constant). Therefore:

V/n = k

Thus, the proportionality between the volume occupied by a gas and the number of gaseous molecules is verified.