(4%) Problem 22: The gauge pressure in your car tires is 2.5 x 105 Pa at a tempe
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(4%) Problem 22: The gauge pressure in your car tires is 2.5 x 105 Pa at a temperature of 350°C when you drive it onto a ferry boat to Alaska what is the gauge pressure of the tires, in pascals, later when the temperature has dropped to-400°C? Assume the volume of each tire does not change Grade Summary Deductions Potential 8% 92% sin() Submissions cosO cotan) asin) Attempts remaining: 3 acos) atan0 acotan0 sinh0 cotanhO % per attempt) detailed view 2% 2% 2% 2% 0 END Degrees Radians BACKSPACE DELCLEAR 4 Submit Feedback I give up! Hints: 1 for a 0% deduction. Hints remaining: 0 Feedback: 0%-deduction per feedback. How are the pressure and temperature of an ideal gas related to each other? Notice that the pressure being given is the gauge, not the absoluteExplanation / Answer
given that
P = 2.5*105 Pa
T1 = 35 oC = 308.15 K
T2 = -40oC =233.15 K
the expression for initial pressure
P1 = P + Patm
P1 = 2.5*105 + 1.013*105
P1 = 3.513 *105 Pa
From the ideal gas law
P1*V1 / P2*V2 = n*R*T1/n*R*T2
Here ,volume is constant .
P2 = P1*T2 / T1
P2 = 3.513 *105 *233.15 / 308.15
P2 = 2.65 *105 Pa
The expression for the final guage pressure ,
P2 = P' + Patm
P' = P2 - Patm
P' = 2.65 *105 - 1.013*105
P' = 1.637*105 Pa
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