A cylinder of compressed gas has a volume of 0.35 L and the gas it contains is at a pressure of 48 atm. All the gas in the cylinder is then used to fill a balloon. The final pressure of gas in the balloon is 0.98 atm. Find the volume (in L) of the balloon.
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.
Please help me with all 5 parts of this question,providing clear answers to each part, also make sure to double and triple check your answers.
A.A cylinder of compressed gas has a volume of 0.35 L and the gas it contains is at a pressure
of 48 atm. All the gas in the cylinder is then used to fill a balloon. The final pressure of gas
in the balloon is 0.98 atm. Find the volume (in L) of the balloon.
B.The gas inside a balloon of volume 12.3 m3 is heated from 25 °C to 125 °C. Find the volume(in m3) of the balloon.
C.A gas occupies a volume of 200 cm3 at 0 °C and 760 mmHg. What volume will it occupy at100 °C and 760 mmHg?
D.An automobile tire is inflated with air at 22 °C to a pressure of 1.8 atm. After the car isdriven for several hours, the volume of the tire increases from 7.2 L to 7.8 L and thepressure increases to 1.9 atm. Find the temperature of the air inside the tire, assuming ideal
gas behavior.
E. What volume (in L) will 100. g of CH4(g) occupy at STP?
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