How Does Temperature Affect Gas Pressure in a Sealed Container?

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The discussion focuses on two homework problems involving gas pressure and temperature. The first problem involves calculating the pressure in a sealed 2.50-L bottle after injecting 100.0 mL of liquid helium and allowing it to warm to room temperature from an initial state of 105K and 2.0 atm. The second problem examines the consumption of oxygen by a mouse in a sealed chamber, where the pressure drops from 752.0 torr to 723.2 torr over two hours, requiring the use of the ideal gas law to determine the mass of oxygen consumed. Participants clarify the need for understanding molarity and stoichiometry in solving these problems. The discussion emphasizes applying the ideal gas law (PV=nRT) to derive the necessary calculations for both scenarios.
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Homework Statement



1) Liquid helium at 4.2 K has a density of 0.147 g/mL. Suppose that a 2.50-L metal bottle that contains air at 105K and 2.0 atm pressure is sealed off. If we inject 100.0 mL of liquid helium and allow the entire system to warm to room temperature (25 °C), what is the pressure inside the bottle?

2) A mouse is placed in a sealed chamber with air at 752.0 torr. This chamber is equipped with enough solid KOH to absorb any CO2 and H2O produced by the mouse. The gas volume in this chamber is measured to be exactly 2.30 L, and the temperature is held constant at 296K.
After two hours the pressure inside the chamber falls to 723.2 torr. What mass of oxygen has the mouse consumed?
 
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PV=nRT

Show what you did.
 
For the second problem, you are going to have to know the molarity of oxygen, so that you can find the original amount of O2 (grams) in the 2.30 L of O2. After you know the grams of O2, you can figure out the "n." Then, use PV=nRT, to calculate the new "n." By subtracting the new "n" from the old "n," and converting that molar value into grams, you get your answer.
 
grapejellypie said:
For the second problem, you are going to have to know the molarity of oxygen, so that you can find the original amount of O2 (grams) in the 2.30 L of O2.

Not sure what you mean by "molarity" of oxygen, but you don't have to know it. Think about stoichiometry O2 -> CO2.
 
mhn745 said:

Homework Statement



1) Liquid helium at 4.2 K has a density of 0.147 g/mL. Suppose that a 2.50-L metal bottle that contains air at 105K and 2.0 atm pressure is sealed off. If we inject 100.0 mL of liquid helium and allow the entire system to warm to room temperature (25 °C), what is the pressure inside the bottle?

2) A mouse is placed in a sealed chamber with air at 752.0 torr. This chamber is equipped with enough solid KOH to absorb any CO2 and H2O produced by the mouse. The gas volume in this chamber is measured to be exactly 2.30 L, and the temperature is held constant at 296K.
After two hours the pressure inside the chamber falls to 723.2 torr. What mass of oxygen has the mouse consumed?

You had already posted the first problem ... what's the textbook answer?
 
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