A sample of nitrogen gas collected at a pressure of 697 mm Hg and a temperature of 292 K has a mass of 17.5 grams. The volume of the sample is L.
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.
![**Problem Description: Gas Law Calculation**
A sample of nitrogen gas collected at a pressure of 697 mm Hg and a temperature of 292 K has a mass of 17.5 grams. The volume of the sample is ______ L.
**Options:**
- [ ] Submit Answer
- [ ] Retry Entire Group
- **Remaining Attempts:** 8 more group attempts remaining
**Note:** To solve this problem, you will likely need to use the Ideal Gas Law formula:
\[ PV = nRT \]
where:
- \( P \) is the pressure of the gas,
- \( V \) is the volume of the gas,
- \( n \) is the number of moles of the gas,
- \( R \) is the ideal gas constant (0.0821 L·atm/(mol·K)),
- \( T \) is the temperature in Kelvin.
First, convert the mass of nitrogen gas to moles using its molar mass. Then, using the given pressure and temperature, solve for the volume \( V \).
**Steps:**
1. Calculate moles of nitrogen gas.
2. Substitute the values into the Ideal Gas Law formula.
3. Solve for \( V \).
**Interactive Options:**
- Click on "Submit Answer" after calculating the volume.
- If errors are made or answers are incorrect, click on "Retry Entire Group" to attempt again.
**Graph/Diagram Explanation:**
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