Problema Solution
The volume
V
of a fixed amount of a gas varies directly as the temperature
T
and inversely as the pressure
P
. Suppose that
=V120cm3
when
=T260
kelvin and
=P13kgcm2
. Find the temperature when
=V152cm3
and
=P15kgcm2
Answer provided by our tutors
V = C*T/P, where C is constant
C = V*P/T
V = 120 cm^3
T = 260 K
P = 13 kg/cm^2
C = 120*13/260
C = 6
The formula for the volume is:
V = 6T/P
T = VP/6
V = 152 cm^3
P = 15 kg/cm^2
T = 152*15/6
T = 380 K
When the volume is 152 cm^2 and the pressure is 15 kg/cm^2 the temperature is 380 kelvin.