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Suppose you take and hold a deep breath on a chilly day,
Chapter 17, Problem 44P(choose chapter or problem)
Problem 44P
Suppose you take and hold a deep breath on a chilly day, inhaling 3.0 L of air at 0°C and 1 atm.
a. How much heat must your body supply to warm the air to your internal body temperature of 37°C?
b. By how much does the air’s volume increase as it warms?
Questions & Answers
QUESTION:
Problem 44P
Suppose you take and hold a deep breath on a chilly day, inhaling 3.0 L of air at 0°C and 1 atm.
a. How much heat must your body supply to warm the air to your internal body temperature of 37°C?
b. By how much does the air’s volume increase as it warms?
ANSWER:
Step 1 of 2
Part a
We are required to calculate the amount of heat supplied.
The volume of air L
Temperature °C = 273 K
Pressure atm =
Pa
If the number of moles of air is ,
moles
moles
The temperature difference is °C = 37 K
The molar specific heat of air at constant pressure is,
J/molK
Therefore, the heat supplied is,
J
J
Therefore, the amount of heat to be supplied is 143 J.