Question

If an ideal gas occupies 563 mL at 20°C and 185 torr, what volume (in mL) will it occupy at 55°C and 479 torr?

Answer 1

We know that PV = nRT
Where
T = Temperature ;P = pressure ; n = No . of moles ;R = gas constant ; V= Volume of the gas
As the gas remains the same , n will constant
So PV / T = constant
Thereby PV/T = P'V'/T'
Where
P = initial pressure = 185 torr
V = initial volume = 563 mL
T = initial temperature = 20.0 oC = 20.0+273 = 293 K

P'= final pressure = 479 tott
V' = final volume = ?
T' = final temperature = 55oC= 55+273= 328 K
Plug the values we get V'=(PVT')/(TP')=243 mL