Problem-1 Suppose that a small, closed, cylindrical sealed container of height 15.0cm and radius 2.50cm has a movable lid. It contains N₂ gas at a pressure of 1.00atm and a temperature of 22.00.

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Problem-1 Suppose that a small, closed, cylindrical sealed container of height 15.0cm and radius 2.50cm
has a movable lid. It contains N₂ gas at a pressure of 1.00atm and a temperature of 22.0C.
(a) How many N₂ molecules are in the container?
(b) What is the total internal energy of the N₂ gas?
(c) If the lid is held in place and not allowed to move (the volume of the gas is not allowed to change), how
much heat energy would be required to increase the temperature of the gas by 100.C?
(d) If instead the lid was allowed to move (the volume was allowed to change) but the gas was held at
constant temperature, how much work would the gas do if the same amount of heat in part(c) was added to
the same gas?
Transcribed Image Text:Problem-1 Suppose that a small, closed, cylindrical sealed container of height 15.0cm and radius 2.50cm has a movable lid. It contains N₂ gas at a pressure of 1.00atm and a temperature of 22.0C. (a) How many N₂ molecules are in the container? (b) What is the total internal energy of the N₂ gas? (c) If the lid is held in place and not allowed to move (the volume of the gas is not allowed to change), how much heat energy would be required to increase the temperature of the gas by 100.C? (d) If instead the lid was allowed to move (the volume was allowed to change) but the gas was held at constant temperature, how much work would the gas do if the same amount of heat in part(c) was added to the same gas?
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