The heat capacity of air is much smaller than that of liquid water, and relatively modest amounts of heat are therefore needed to change the temperature of air. This is one of the reasons why desert regions, though very hot during the day, are bitterly cold at night. The molar heat capacity of air at 298 K and 1.00 atm is approximately 21 J K−1 mol−1. Estimate how much energy is required to raise the temperature of the air in a room of dimensions 5.5 m × 6.5 m × 3.0 m by 10 °C. If losses are neglected, how long will it take a heater rated at 1.5 kW to achieve that increase, given that 1 W = 1 J s−1?

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter6: Thermochemistry
Section: Chapter Questions
Problem 68E: In a coffee-cup calorimeter, 1.60 g NH4NO3 is mixed with 75.0 g water at an initial temperature of...
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The heat capacity of air is much smaller than that of liquid water, and relatively modest amounts of heat are therefore needed to change the temperature of air. This is one of the reasons why desert regions, though very hot during the day, are bitterly cold at night. The molar heat capacity of air at 298 K and 1.00 atm is approximately 21 J K−1 mol−1. Estimate how much energy is required to raise the temperature of the air in a room of dimensions 5.5 m × 6.5 m × 3.0 m by 10 °C. If losses are neglected, how long will it take a heater rated at 1.5 kW to achieve that increase, given that 1 W = 1 J s−1?

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