{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

SPSolution14-16

# SPSolution14-16 - Naik Sameer V Solution for Special...

This preview shows pages 1–2. Sign up to view the full content.

Naik, Sameer V. Fall 2009 1000 Solution for Special Problem 14 Given: - Automobile tire with known volume Find: - Change in tire pressure (kPa) when air temperature increases from 25 ° C to 50 ° C - Amount of air (kg) to be bled off from the tire to restore original pressure System: Assumptions: - Automobile tire is a closed system (mass constant) - Tire volume is constant - Air behaves as an ideal gas Basic Equation(s): PV mRT = Solution: (a) From Table A-1, the critical pressure and temperature for air are 3.77 MPa and 133 K, respectively. Hence, at the initial condition: ( ) 1 ,1 25 273.15 K 2.24 133 K R cr T T T + = = = and 1 ,1 0.31 MPa 0.0822 3.77 MPa R cr P P P = = = From Fig. A-1, the compressibility factor is approximately 1; the assumption of ideal gas behavior for air is appropriate. Since mass of air remains constant, we can write: 1 1 2 2 1 2 PV PV m RT RT = = . However, the tire volume is constant ° ( ) ( ) 1 2 2 2 1 1 2 1 50 273.15 K 310 kPa 336 kPa 25 273.15 K P P T P P T T T + = ° = = × = + Hence, the change in tire pressure when the air temperature increases from 25 ° C to 50 ° C is: 2 1 P P P Δ = - i.e.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern