Use Ideal gas law equation to solve the problem. Fermentation of glucose produce gas in the form of carbon dioxide, how many moles of carbon dioxide is produced if 0.78 L of carbon dioxide at 293K and 1.00 atm was collected during the process?
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.
Use Ideal
Fermentation of glucose produce gas in the form of carbon dioxide, how many moles of carbon dioxide is
produced if 0.78 L of carbon dioxide at 293K and 1.00 atm was collected during the process?
![## Ideal Gas Law
The Ideal Gas Law is a relationship that illustrates the correlations among the pressure, temperature, volume, and the number of moles of a gas. By combining the three fundamental gas laws (Boyle’s Law, Charles’ Law, and Avogadro’s Law), we obtain the equation:
\[ PV = nRT \]
where:
- \( P \) = pressure of the gas
- \( V \) = volume of the gas
- \( n \) = number of moles of the gas
- \( R \) = universal gas constant (\(0.0821\, \text{L atm} / \text{mol K}\))
- \( T \) = temperature in Kelvin (K)
### Sample Problem:
**Problem Statement:**
1. A sample of liquid acetone is placed in a 0.025 L flask and vaporized by heating it to 75°C at 1.02 atm. The vapor weighs 5.87 g. Calculate the number of moles of acetone.
**Given Data:**
- Volume (\( V \)) = 0.025 L
- Temperature (\( T \)) = \( 75^\circ \text{C} + 273 = 348 \text{K} \)
- Pressure (\( P \)) = 1.02 atm
- Universal Gas Constant (\( R \)) = 0.0821 L atm / mol K
**Unknown:**
- Number of moles (\( n \)) = ?
**Formula:**
\[ n = \frac{PV}{RT} \]
**Solution:**
\[ n = \frac{(1.02\, \text{atm}) (0.025\, \text{L})}{(0.0821\, \text{L atm} / \text{mol K}) (348\, \text{K})} \]
Calculating the values:
\[ n = \frac{0.0255}{28.5948} \approx 0.00089 \text{mole} \]
**Answer:**
\[ n = 0.00089 \text{mole} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf8bb8d0-3ba7-4ab1-b94a-9b1a91adf242%2F55c45507-1a9a-441f-9f2e-fdbe2af656e9%2Ft0jowd_processed.png&w=3840&q=75)
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 3 images
