Question

Derive ideal gas equation, PV = nRT.

Answer 1

Hey dear,

◆ Derivation of ideal gas equation -

Let's consider,

P = pressure of the gas

V = volume of the gas

n = no of moles of gas

T = temperature of the gas

According to Avogadro's law,

V ∝ n ...(1)

According to Boyle's law,

V ∝ 1/P ...(2)

According to Charles law,

V ∝ T ...(3)

Combining (1),(2) & (3),

V ∝ nT/P

Taking R as the constant,

V = R × nT/P

PV = nRT

Value of R can be experimentally determined as R = 8.314 J/mol.K

Hope this was helpful.

Answer 2

Correct answer

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