Let V = the volume and P the pressure of a gas at t°.
Let V' = its volume and P' its pressure at t'°.
Let V₁ = its volume at the pressure P' and temperature t°.
Then by Boyle's law PV = P'V1, since the temperature is t°.
By the law of Charles V1/ T =V/T' since the pressure is P', T and T' being absolute temperatures corresponding to t° and t'° respectively.
Multiplying these equations term by term we get, by eliminating V1
PV/T=P'V'/ T'
This formula is used in the solution of such questions as the following
EXAMPLE. - The volume of a gas at 22° C. and 760 mm. pressure is 50 c.c. What will it be when the temperature is raised to 100° С.
and the pressure is 700 mm.? Since T is the absolute temperature, substitution in the formula gives and the pressure is 700 mm.? Since T is the absolute temperature, substitution in the formula gives
