View History Bookmarks Window Help 22. The gauge pressure in your car tires is 2

Question

View History Bookmarks Window Help 22. The gauge pressure in your car tires is 2.50x 10 N/m2 at a temperature of 35.0°C when you drive it onto a ferry boat to Alaska. What is their gauge pressure later when their temperature has dropped to -40.0°C? Solution P 2.50x10 N/m2 +1.013x10 Nm 3.513x10 N/m2 P,V, NKT, PV NkT since 233.15 K) = 2.658 x105 Nin' =(3.153 x105 N/m" )(308.15K F-2.658 x 10° N/m2-1.013x10' N/ = 1.64x10' Nr = 1.62 atm Convert an absolute pressure of 7.00x10 N/m2 to gauge pressure in lb/in. (This 23. value was stated to be just less than 90.0 lb/in2 in Example 13.9. Is it?) P-Fa-latm = 7.00x10' Nin'-1.01 3x 10, Nrm 2 =5987x105 Nm2 P (5.987x 10 Nm)x( 1.00 b/in. Solution 20 2 3 4 8

Explanation / Answer

22.

gauge pressure = 1.64 x 105 N/m2

we know that : 1 atm = 101325 N/m2

hence

gauge pressure = (1.64 x 105 )( (N/m2 ) (1 atm/(101325) (N/m2))

gauge pressure = (1.64 x 105 ) atm /(101325) = 1.62 atm

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