Relationship between Volume and temperature

 

Explain the relationship between volume and temperature using the appropriate Gas Law.
Materials- regular size balloons, strings to tie the balloons, water bath (1 L glass beaker or a tub with 3/4th tap water), hot plate, ( 1-2), ice water/fridge
Case 2
Fill a balloon with air to approximately 5-10 inch in diameter (around the middle). Tie tightly and keep it aside after measuring its diameter using a string and a ruler or a tape measure (around the middle). Record the value. Take tap water up to 3/4th of a 1L beaker or a tub/pan, keep it on the hotplate for boiling and then turn off the stove and use this hot water or can use very hot water from the water tap. Place the balloon on top of the hot water afloat. Use precaution while handling hot water. Keep the balloon afloat for 2 to 4 min. Get the ice bath ready during that time. Take the balloon out from hot water and quickly measure the diameter as before. Record the value. Then immediately plunge the balloon in the ice bath/water. Hold it in there for a minute, and then measure the diameter again and record your observation. Compare all the three values and test your hypothesis for Case 2. Remember, the pressure remains constant throughout the experiment, which is the atmospheric pressure, 1 atm. The number of gas particles in the balloon, moles of the gas n, also remained the same as we did not add or remove any gas. We changed the temperature and observed its effect on the size or the volume of the gas.
Problems
PV=nRT is known as the ideal gas equation, and the gases behaving according to the equation are called ideal gases. R is known as the ideal gas constant, and has a value of 0.08206 Latm/molK when Volume is in L, pressure is in atm, temperature is in T, and amount of particles n is in mols.
Using the ideal gas equation, solve the following problems
a. Calculate the volume of 3mols of an ideal gas at 325K and 2.5atm.
b. What is the pressure of 2.8mols of an ideal gas at 298K stored in a 38.5L container?
c. How many mols of an ideal gas would be present in a 20L closed container kept at 1atm and 300K?
d. Calculate the temperature of an ideal gas at 3atm pressure kept in a 34L container. It contains 4mols of the ideal gas.

 

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