countries, liquid nitrogen is used on dairy trucks instead of mechanical refrigerators. A 3.00-hour delivery trip requires 250 L of liquid nitrogen, which has a density of 808 kg/m3. (a) Calculate the heat needed in kilocalories to evaporate this amount of liquid nitrogen and raise its temperature to 2.50°C. (You must use cp, and you can assume it is constant over the temperature range.) This is the amount of cooling the liquid nitrogen supplies.   (b) What is this in kilowatt-hours?

University Physics Volume 2
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ISBN:9781938168161
Author:OpenStax
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Chapter2: The Kinetic Theory Of Gases
Section: Chapter Questions
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In some countries, liquid nitrogen is used on dairy trucks instead of mechanical refrigerators. A 3.00-hour delivery trip requires 250 L of liquid nitrogen, which has a density of 808 kg/m3.
(a)
Calculate the heat needed in kilocalories to evaporate this amount of liquid nitrogen and raise its temperature to 2.50°C. (You must use cp, and you can assume it is constant over the temperature range.) This is the amount of cooling the liquid nitrogen supplies.
 
(b)
What is this in kilowatt-hours?
 
 
(c)
How much cooling in kilocalories would be obtained from melting an identical mass of 0°C ice?
 
Expert Solution
Step 1

We know that we have given that liquid nitrogen is used on dairy trucks instead of mechanical refrigerators. A 3.00-hour delivery trip requires 250 L of liquid nitrogen, which has a density of 808 kg/m3.

We know that the formula of the heat transfer and temperature change are related as 

Q = mcT

  • where Q is the heat transfer
  • m is the mass
  • T is the change in temperature
  • c is the specific heat 

We also know that heat is required to change the phase of the sample of the mass m, 

Q = mL

where L is the latent heat of vaporization

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9781938168161
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OpenStax