L-sol - Chapter L - Problems Blinn College - Physics 2425 -...

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Chapter L - Problems Blinn College - Physics 2425 - Terry Honan Problem L.1 A constant volume gas thermometer is calibrated using dry ice (at T =- 80.0 °C) and boiling water (at T = 100 °C). The pressure with dry ice is 1.81 atm and with boiling water is 3.49 atm. (a) With this calibration, what is the value of absolute zero given by the thermometer? (b) What is the pressure at 0 °C? Solution to L.1 (a) We are given two points H T 1 , P 1 L and H T 2 , P 2 L we can find the equation of the line. m = P 2 - P 1 T 2 - T 1 = 3.49 - 1.81 100 - - 80 = 0.009333 P - P 1 = m H T - T 1 L ï P - 1.81 = m H T + 80 L The value of absolute zero is found by finding the temperature value where the pressure is zero. 0 - P 1 = m H T - T 1 L ï - 1.81 = m H T + 80 L ï T = - 273.9 °C (b) We now need to find P at T = 0. T = 0 °C ï P = 2.56 atm Problem L.2 At what temperature are the numerical values of the Fahrenheit and Celcius scales the same? Solution to L.2 T F = 9 5 T C + 32 and T = T F = T C ï T = 9 5 T + 32 ï T =- 40 Problem L.3 Liquid nitrogen is at 77 K. What is this in Celcius and in Fahrenheit? Solution to L.3 T C = T K - 273 =- 196 °C T F = 9 5 T C + 32 =- 321 °F
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Problem L.4 An aluminum hole has a diameter of 5 cm. An aluminum rod is slightly too big to fit in the hole; it has a 5.01 cm diameter. By how much must the temperature of the rod be lowered to fit in the hole? (For aluminum a= 24 μ 10 - 6 ë C°) Solution to L.4
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L-sol - Chapter L - Problems Blinn College - Physics 2425 -...

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