1.) A hand pump is used to inflate a bicycle tire to a gauge pressure of 70 psi. a) How much work must be done if each stroke of the pump is an adiabatic process and what is the final temperature of the gas? b) We inflate the tire in two steps: (i) an isobaric compression and (ii) an isochoric increase in temperature. Calculate the work done by gas/"us" and/or heat added/removed during the two steps! Is this a viable alternative to the adiabtic compression Explain! Atmospheric pressure is 1 atm, the air temperature is initially 25° C, and the volume of the air in the tire remains constant. Useful values: A bicycle tire is 26 in diameter and has a cross-sectional area of 2 in² [1 in = 2.54 cm]. 1 lb corresponds to a mass of 0.445 kg. c) For Take-Home only Solve the questions in a) and b) in terms of the initial pressure P₁ =P*, the final volume = V* and the pressure ratio K = Pf/P*!

Elements Of Electromagnetics
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1.) A hand pump is used to inflate a bicycle tire to a gauge pressure of 70 psi. a) How much work must be done if
each stroke of the pump is an adiabatic process and what is the final temperature of the gas?
b) We inflate the tire in two steps: (i) an isobaric compression and (ii) an isochoric increase in temperature. Calculate
the work done by gas/"us" and/or heat added/removed during the two steps! Is this a viable alternative to the
adiabtic compression Explain!
Atmospheric pressure is 1 atm, the air temperature is initially 25° C, and the volume of the air in the tire remains
constant.
Useful values: A bicycle tire is 26 in diameter and has a cross-sectional area of 2 in² [1 in = 2.54 cm]. 1 lb corresponds
to a mass of 0.445 kg.
c) For Take-Home only Solve the questions in a) and b) in terms of the initial pressure P₁ = P*, the final volume
Vf = V* and the pressure ratio K = Pf/P*!
Transcribed Image Text:1.) A hand pump is used to inflate a bicycle tire to a gauge pressure of 70 psi. a) How much work must be done if each stroke of the pump is an adiabatic process and what is the final temperature of the gas? b) We inflate the tire in two steps: (i) an isobaric compression and (ii) an isochoric increase in temperature. Calculate the work done by gas/"us" and/or heat added/removed during the two steps! Is this a viable alternative to the adiabtic compression Explain! Atmospheric pressure is 1 atm, the air temperature is initially 25° C, and the volume of the air in the tire remains constant. Useful values: A bicycle tire is 26 in diameter and has a cross-sectional area of 2 in² [1 in = 2.54 cm]. 1 lb corresponds to a mass of 0.445 kg. c) For Take-Home only Solve the questions in a) and b) in terms of the initial pressure P₁ = P*, the final volume Vf = V* and the pressure ratio K = Pf/P*!
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