A sample of neon gas at a pressure of 1.19 atm and a temperature of 267 °C, occupies a volume of 478 mL. If the gas is cooled at constant pressure until its volume is 360 mL, the temperature of the gas sample will be °C. rogress
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.
![**Question:**
A sample of **neon** gas at a pressure of **1.19 atm** and a temperature of **267 °C**, occupies a volume of **478 mL**. If the gas is **cooled** at constant pressure until its volume is **360 mL**, the temperature of the gas sample will be _____ °C.
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**Explanation:**
This question involves using the principles of gas laws, particularly Charles's Law which states that at constant pressure, the volume of a given mass of gas is directly proportional to its temperature (in Kelvin). The relation is given by:
\[ \frac{V1}{T1} = \frac{V2}{T2} \]
Where:
- \( V1 \) and \( V2 \) are the initial and final volumes, respectively.
- \( T1 \) and \( T2 \) are the initial and final temperatures, respectively.
To find the final temperature (\( T2 \)), rearrange the equation to:
\[ T2 = T1 \times \frac{V2}{V1} \]
Remember to convert temperatures to Kelvin by adding 273.15.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffa82188d-7c1b-4aa7-8add-9da07b86f459%2F239310ef-8899-4faa-806b-1a76609e788e%2F0ctf7v_processed.png&w=3840&q=75)
At constant pressure, volume occupied by a gas is directly proportional to its temperature.
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