Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperture is `22^(@)C` During the day , temperature ries
Air is pumped into an automobile tube upto a pressure of 200 kPa in the morning when the air temperture is `22^(@)C` During the day , temperature ries to `42^(@)C` and the tube expands by 2% a The pressure of the air in the tube at this temperature, will be approximately
A. 212 kPa
B. 209 kPa
C. 206 kPa
D. 200 kPa
1 Answers
Correct Answer - B
The ideal gas law is the equation of state of an ideal gas . The state of an amount of gas is determined by its pressure , volume and temperature . The equation has the from pV=nRT
Where , p is pressure , V the volume , n the number of moles , R the gas constant and T the temperature.
`therefore " " (P_(1)V_(1))/(T_(1))=(P_(2)V_(2))/(T_(2))`
Given , `P_(1)=200kPa,V_(1)=V,T_(1)=273+22=295K,`
`V_(2)=V+0.02,T_(2)=273+42=315K`
`(200xxV)/(295)=(P_(2)xx1.02V)/(315)rArrP_(2)=(200xx315)/(295xx1.02)`