Question
Establish the combined law of Boyle’s and Charle’s law.
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)