Please be clear and upload the pictures the right way up The pressure in an auto
ID: 2993942 • Letter: P
Question
Please be clear and upload the pictures the right way up
The pressure in an automobile tire depends on the temperature of the air in the tire. When the air temperature is 25 degree C, the gage pressure reads 210 kPa. If the volume of the tire is 0.025 m3, determine the pressure rise in the tire when the air temperature in the tire rises to 50 degree C. Also, determine the mass of air that must be bled off to restore pressure to its original values at this temperature. Use atmospheric pressure as 101.3 kPa. Assume that the tire is rigid and does not change volume.Explanation / Answer
= 25.994 kPa ******************************************************************************** NEXT PART ::::In order to restore original tire pressure, someair must be removed
from the tire. Amount of air requiring removal is determinedon the
basis of number of moles of air in the tire.
Number of moles "n" of air present in the tire at 50 degC andnew
pressure of (335994 Pa) isgiven by the ideal gas law to be:
n = P2*V/{R*T2} =
= (335994)*(0.025)/{(8.314)*(50 + 273.15)}
= 3.1265 moles
In order to reduce tire pressure to original value of(310000 Pa) while
maintaining new temperature of 50 degC, the number of moles ofair
must be reduced to "nnew", where:
nnew = P1*V/{R*T2} =
= (310000)*(0.025)/{(8.314)*(50 +273.15)}
= 2.8846 moles
Thus, amount of air needing removal to restore original pressureis:
{Air RemovalAmount To Restore Pressure} = n -nnew =
= (3.1265moles) - (2.8846 moles)
= 0.2419 moles