A balloon vendor at a street fair is using a tank of helium to fill her balloons. The tank has a volume of 126.0 L and a pressure of 127.0 atm at 25.0 °C. After a while she notices that the valve has not been closed properly. The pressure had dropped to 117.0 atm. (The tank is still at 25.0 °C.) 1st attempt l See Periodic Table O See Hint How many moles of gas has she lost? mol
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.
![**Scenario: Balloon Vendor's Helium Usage**
A balloon vendor at a street fair is using a tank of helium to fill her balloons. The tank has a volume of 126.0 L and a pressure of 127.0 atm at 25.0 °C. After a while, she notices that the valve has not been closed properly, and the pressure has dropped to 117.0 atm. (The tank is still at 25.0 °C.)
**Question:**
How many moles of gas has she lost?
**Response Box:**
[______] mol
**Additional Tools:**
- **See Periodic Table**
- **See Hint**
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This scenario provides an opportunity for learners to apply the ideal gas law to determine the number of moles of helium lost due to the pressure decrease in the tank. The information given allows for calculations using the formula:
\[
PV = nRT
\]
where \(P\) is pressure, \(V\) is volume, \(n\) is the number of moles, \(R\) is the ideal gas constant, and \(T\) is temperature in Kelvin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb09f5b94-e0b7-4850-b3d7-b1a1443a145e%2Fe0bf72f7-e175-4600-a763-1bc7374238ed%2Fcmm96ba_processed.png&w=3840&q=75)
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