# Derive an Ideal gas equation. Mention the terms involved in it. - Chemistry

Derive an Ideal gas equation. Mention the terms involved in it.

#### Solution

According to Boyle’s law,

V ∝ 1/"P" (at constant T and n) .…(1)

According to Charles’ law,

V ∝ T (at constant P and n) .…(2)

V ∝ n (at constant P and T) .…(3)

Combining relations (1), (2), and (3), we get

V ∝ ("nT")/"P"

Converting this proportionality into an equation by introducing a constant of proportionality (‘R’ known as gas constant), we get

∴ V = ("nRT")/"P"

On rearranging the above equation, we get

PV = nRT

where,
P = Pressure of gas,
V = Volume of gas,
n = number of moles of gas,
R = Gas constant,
T = Absolute temperature of gas.

This is the ideal gas equation or equation of state.

Concept: Deviation from Ideal Behaviour
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#### APPEARS IN

Balbharati Chemistry 11th Standard Maharashtra State Board
Chapter 10 States of Matter
Exercises | Q 4. (B) | Page 158
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