21. Kinetic Theory of Ideal Gases

The Ideal Gas Law

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0.00086 moles of an ideal gas undergoes the process shown in the figure. If the initial temperature was $340 K$ and the final pressure is $5.0 atm$ , what is the final temperature?
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3 moles of an ideal gas fill a cubical box with a side length of 30cm. If the temperature of the gas is 20°C, what is the pressure inside the container?
1982
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8
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A sample of gas is heated in a closed container with a volume of $2 . 2 L,$ from an initial temperature and pressure of $20 ° C$ and $1.0 atm$ to a final temperature of $238 ° C$ . What is the final pressure?
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A balloon contains 3900cm³ of a gas at a pressure of 101 kPa and a temperature of –9°C. If the balloon is warmed such that the temperature rises to 28°C, what volume will the gas occupy? Assume the pressure remains constant.
1955
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7
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An ideal gas is in a sealed container. It has a temperature T when it has volume V at pressure P. What is the temperature of the gas when its volume is quadrupled, and the pressure is halved?
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During the isobaric part of the overall path from state d to state b for an ideal gas, how are the heat $q$ and the work $w$ related?
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Hydrogen gas behaves very much like an ideal gas. If you have a sample of Hydrogen gas with a volume of 1000 cm³at 30°C with a pressure of 1 × 10⁵ Pa, calculate how many hydrogen atoms (particles) there are in the sample.
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1
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