QUESTION 7 A gas filled weather balloon has a volume a volume of 50.0 L at ground level, where the pressure is 767 mm Hg and the temperature is 22.6o C. after being released, the balloon reaches to an altitude where the temperature is – 2.56 0C and the pressure is 0.0786 atm. What is the weather balloon's Volume in L at the higher altitude ?
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 7
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A gas filled weather balloon has a volume a volume of 50.0 L at ground level, where the pressure is 767 mm Hg and the temperature is 22.6o C. after being released, the balloon reaches to an altitude where the temperature is – 2.56 0C and the pressure is 0.0786 atm. What is the weather balloon's Volume in L at the higher altitude ?
For the phase change of the ideal gas the temperature, pressure, and volume of the initial state and the final state are given by the following combined gas equation:
Where
P1 = initial pressure of gas = 767 mmHg
V1 = initial volume of gas = 50.0 L
T1 = initial temperature of gas = 22.6oC = 22.6oC +273.15 = 295.75 K
P2 = final pressure of gas = 0.0786 atm
V2 = final volume of gas = ?
T2 = final temperature of gas = – 2.56 0C = – 2.56 0C +273.15 = 270.59 K
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