A gas mixture at 20.0°C and 2.0 atm contains 0.40 mol of H2, 0.15 mol of 02, and 0.50 mol of N2. Assuming ideal behavior, what is the partial pressure of hydrogen gas (H2) in the mixture?
Ideal and Real Gases
Ideal gases obey conditions of the general gas laws under all states of pressure and temperature. Ideal gases are also named perfect gases. The attributes of ideal gases are as follows,
Gas Laws
Gas laws describe the ways in which volume, temperature, pressure, and other conditions correlate when matter is in a gaseous state. The very first observations about the physical properties of gases was made by Robert Boyle in 1662. Later discoveries were made by Charles, Gay-Lussac, Avogadro, and others. Eventually, these observations were combined to produce the ideal gas law.
Gaseous State
It is well known that matter exists in different forms in our surroundings. There are five known states of matter, such as solids, gases, liquids, plasma and Bose-Einstein condensate. The last two are known newly in the recent days. Thus, the detailed forms of matter studied are solids, gases and liquids. The best example of a substance that is present in different states is water. It is solid ice, gaseous vapor or steam and liquid water depending on the temperature and pressure conditions. This is due to the difference in the intermolecular forces and distances. The occurrence of three different phases is due to the difference in the two major forces, the force which tends to tightly hold molecules i.e., forces of attraction and the disruptive forces obtained from the thermal energy of molecules.
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![**Problem Set on Ideal Gas Law and Chemical Reactions**
3) An ideal gas sample has a mass of 1.28 grams in a 0.500 L container. The temperature of the container is 127°C and the pressure of the gas is 2.00 atm. What is the molar mass of the gas?
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4) Given the following reaction:
\[ 2NO \, (g) + O_2 \, (g) \rightarrow 2NO_2 \, (g) \]
How many liters of gaseous oxygen are needed to produce 6.50 L of gaseous nitrogen dioxide, if both gases are being measured at STP?
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5) Air at 30,000 feet is at a temperature of -35.0°C. Air is a mixture that is 78.0% nitrogen, 21.0% oxygen, and 1.0% argon. If 0.594 moles of air are captured in a 45.0 L container from a plane flying at 30,000 feet:
a. Calculate the total pressure in the container.
b. Calculate the partial pressures of each gas.
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6) \[ 2 \, KClO_3 \rightarrow 2 \, KCl + 3 \, O_2 \]
How many grams of potassium chlorate, KClO₃, were reacted if 5.30 liters of oxygen, O₂, were produced at 117°C and 0.995 atm?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd4fc228-2e8d-4ff9-a90a-817942d09868%2Fa0ded284-c0ec-4bed-bddc-d909fccca759%2Fc7o5syq_processed.jpeg&w=3840&q=75)
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