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 =V70cm3 when =T420 kelvin and =P18kgcm2. Find the pressure when T=140 kelvin and V=60cm3
Answer provided by our tutors
V = C*T/P, where C is constant
C = V*P/T
V = 70 cm^3
T = 420 K
P = 18 kg/cm^2
C = 70*18/410
C = 1260/410
C = 126/41
The formula for the volume is:
V = (126/41)T/P
P = (126/41)(T/V)
V = 60 cm^3
T = 140 K
P = (126/41)(140/60)
T = 7.17 kg/cm^2
The pressure is 7.17 kg/cm^2 when T=140 kelvin and V=60 cm3.