Question

A car tyre has a volume of 10 litre when inflated. The tire is inflated to the pressure of 3 atm at 17 degrees celsius with air. due to driving the temperature of tyre increases to 47 degree Celsius.how many litres of air measured at 47 degree Celsius and pressure of 1 atm should be let out to restore the tire to 3 atm at 47 degree Celsius

Answer 1

A) Given,
P1 = 3 atm
T1 = 17 degree Celsius = 290 K
V1 = 10 L
P2 = ?
T2 = 47 degree Celsius = 320 K
V2 = 10 L

We know, at constant volume:
P1/P2=T1/T2
P2 = P1T2/T1 =(3x 320)/290 =3.31 atm

B) Now, pressure to be restored = 3 atm
So , decrease in pressure = 3.31 - 3 = 0.31 atm
Let v be the volume of air that is let out
Therefore, at constant temperature,
P1V1 = P2V2
0.31 x 10 = 1 x v
v = 3.1 L