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Question

Establish the combined form of Boyle’s law and Charles’ law.

WBBSE Class X Physical Science Behaviour of Gases 03 Mark 2022

Answer

Let V be the volume of a given mass of gas at pressure P and temperature T (absolute),

From Boyle’s law: V ∝ 1/P (m and T constant)

From Charle’s law: V ∝ T (m and P constant)

By combining two laws we have,

V ∝ T/P or,

V = K T/P (Where K = proportionality constant)

or, PV = KT

or, PV = nRT

Where n is the number of moles of gas, R is the universal gas constant (0.08206 L·atm/mol·K)

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