Boyle's Law states that for a certain gas in a container we have \( P \cdot V = 375 \) where \( P \) represents the pressure of the gas (in mmHG) and \( V \) represents the volume of the gas (in liters). a. If the pressure of the gas is 180 mmHG, what is the volume of the gas? \[\underline{\hspace{5cm}}\] liters Preview b. Write a function \( f \) that determines the volume of the gas (in liters) in terms of the pressure of the gas in mmHG, \( P \). \( f(P) = \underline{\hspace{5cm}} \) Preview c. Complete the following statement. (Hint: if \( f(P) \) increases without bound, enter "oo". If \( f(P) \) decreases without bound, enter "-oo".) As \( P \rightarrow 0^+ , f(P) \rightarrow \underline{\hspace{5cm}} \) Preview d. What does your answer to part (c) represent? Select all that apply. - As the pressure of the gas decreases, the volume of the gas increases. - As the pressure of the gas decreases, the volume of the gas gets closer to 0. - As the pressure of the gas decreases, the volume of the gas decreases. Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4) Enter DNE for Does Not Exist, oo for Infinity Box 4: Select all correct answers
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.
2)Boyle's Law D' states that for a certain gas in a container we have P • V = 375 where P represents the pressure of the gas (in mmHG) and V represents the volume of the gas (in liters).
![Boyle's Law states that for a certain gas in a container we have \( P \cdot V = 375 \) where \( P \) represents the pressure of the gas (in mmHG) and \( V \) represents the volume of the gas (in liters).
a. If the pressure of the gas is 180 mmHG, what is the volume of the gas?
\[\underline{\hspace{5cm}}\] liters Preview
b. Write a function \( f \) that determines the volume of the gas (in liters) in terms of the pressure of the gas in mmHG, \( P \).
\( f(P) = \underline{\hspace{5cm}} \) Preview
c. Complete the following statement. (Hint: if \( f(P) \) increases without bound, enter "oo". If \( f(P) \) decreases without bound, enter "-oo".)
As \( P \rightarrow 0^+ , f(P) \rightarrow \underline{\hspace{5cm}} \) Preview
d. What does your answer to part (c) represent? Select all that apply.
- As the pressure of the gas decreases, the volume of the gas increases.
- As the pressure of the gas decreases, the volume of the gas gets closer to 0.
- As the pressure of the gas decreases, the volume of the gas decreases.
Box 1: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c
Be sure your variables match those in the question
Box 3: Enter your answer as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity
Box 4: Select all correct answers](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a31831f-6f00-4468-acbe-9e4738be30a7%2F6e8f2f6e-4ffa-4dff-918c-3400691f572b%2F8qslklp_processed.png&w=3840&q=75)
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