In: Physics
Suppose you take and hold a deep breath on a chilly day, inhaling 2.5 L of air at 0 ∘C and 1 atm.
1.
How much heat must your body supply to warm the air to your internal body temperature of 37 ∘C?
Express your answer to three significant figures and include the appropriate units.
2.
By how much does the air's volume increase as it warms?
Express your answer using two decimal places and include the appropriate units.
Volume of the air =
Initial temperature of the air = =
Final temperature = =
Change in the temperature =
Pressure of air is atmospheric =
specific heat of the air =
specific gas constant for air =
From the ideal gas equation
We know that, heat supplied to increase the the temperature is given by
Hence, heat supply by the body for given condition is
PART 2.
Pressure will be same as atmospheric pressure,
Using Charles's law, we get
Change in volume =
Hence, Volume increased is