You drive on 15 to the Bay Area. Midway through the trip your car indicates that the tire pressure is low. The pressure is supposed to be 330 kPa (absolute) but you measure it to be 290 kPa. Due to driving, the temperature of the air in the tires when they are filled is 50 °C. You add air to the desired pressure value for your tires and keep driving. The next morning, the air in the tires has equilibrated to San Francisco morning temperatures of 10 °C, and your car still says the tire pressure is low. Assume the tire volume to be fixed. Take 132 K, and P = 3.77 MPa. Cp 1.005 kJ/kg-K and C₁ = 0.718 kJ/kg-K, Tc (b) (c) = (a) you filled up the tires midway through your trip. (d) (e) = In words, describe why the tire pressure is low the next morning, even though Sketch a T - v diagram of the process. Determine whether the ideal gas law is appropriate to employ for further analysis in this situation. Your argument should involve numbers. Calculate the pressure of the tires the next morning after you arrive. Calculate the change in internal energy of the air overnight. Take the tire volume to be 0.025 m³.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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You drive on I5 to the Bay Area. Midway through the trip your car indicates that the tire pressure is low. The pressure is supposed to be 330 kPa (absolute) but you measure it to be 290 kPa. Due to driving, the temperature of the air in the tires when they are filled is 50 °C. You add air to the desired pressure value for your tires and keep driving. The next morning, the air in the tires has equilibrated to San Francisco morning temperatures of 10 °C, and your car still says the tire pressure is low. Assume the tire volume to be fixed. Take \( C_p = 1.005 \, \text{kJ/kg-K} \) and \( C_v = 0.718 \, \text{kJ/kg-K}, \, T_c = 132 \, \text{K}, \) and \( P_c = 3.77 \, \text{MPa}. \)

(a) In words, describe why the tire pressure is low the next morning, even though you filled up the tires midway through your trip.

(b) Sketch a \( T - \nu \) diagram of the process.

(c) Determine whether the ideal gas law is appropriate to employ for further analysis in this situation. Your argument should involve numbers.

(d) Calculate the pressure of the tires the next morning after you arrive.

(e) Calculate the change in internal energy of the air overnight. Take the tire volume to be 0.025 m\(^3\).
Transcribed Image Text:You drive on I5 to the Bay Area. Midway through the trip your car indicates that the tire pressure is low. The pressure is supposed to be 330 kPa (absolute) but you measure it to be 290 kPa. Due to driving, the temperature of the air in the tires when they are filled is 50 °C. You add air to the desired pressure value for your tires and keep driving. The next morning, the air in the tires has equilibrated to San Francisco morning temperatures of 10 °C, and your car still says the tire pressure is low. Assume the tire volume to be fixed. Take \( C_p = 1.005 \, \text{kJ/kg-K} \) and \( C_v = 0.718 \, \text{kJ/kg-K}, \, T_c = 132 \, \text{K}, \) and \( P_c = 3.77 \, \text{MPa}. \) (a) In words, describe why the tire pressure is low the next morning, even though you filled up the tires midway through your trip. (b) Sketch a \( T - \nu \) diagram of the process. (c) Determine whether the ideal gas law is appropriate to employ for further analysis in this situation. Your argument should involve numbers. (d) Calculate the pressure of the tires the next morning after you arrive. (e) Calculate the change in internal energy of the air overnight. Take the tire volume to be 0.025 m\(^3\).
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