Problem 7: A person goes for a walk on a winter day when the air temperature is 7,-2.9°C. The person takes an average of 22 breaths per minute and inhales a volume V 0.0016 m² of air with each breath. The person's body must provide the energy to warm the air to body temperature T, 37°C. Assume the pressure remains constant. Take the density of air to be o 1.2 kg/m' and the specific heat of air to be c 1.0 x 10 J/(kg-"C).

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Problem 7: A person goes for a walk on a winter day when the air temperature is T, = -2.9°C. The person takes an average of 22 breaths per minute
and inhales a volume V = 0.0016 m³ of air with each breath. The person's body must provide the energy to warm the air to body temperature T₁ = 37°C.
Assume the pressure remains constant. Take the density of air to be Q=1.2 kg/m³ and the specific heat of air to be c = 10 x 10 J/(kg-"C).
(
Pa
Part (a) Enter an expression for the energy needed to warm one breath of air to body temperature, in terms of the defined quantities.
Part (b) What average power, in watts, does the person's body need to produce in order to warm the air?
Transcribed Image Text:Problem 7: A person goes for a walk on a winter day when the air temperature is T, = -2.9°C. The person takes an average of 22 breaths per minute and inhales a volume V = 0.0016 m³ of air with each breath. The person's body must provide the energy to warm the air to body temperature T₁ = 37°C. Assume the pressure remains constant. Take the density of air to be Q=1.2 kg/m³ and the specific heat of air to be c = 10 x 10 J/(kg-"C). ( Pa Part (a) Enter an expression for the energy needed to warm one breath of air to body temperature, in terms of the defined quantities. Part (b) What average power, in watts, does the person's body need to produce in order to warm the air?
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