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.

 

Sample solution

Dante Alighieri played a critical role in the literature world through his poem Divine Comedy that was written in the 14th century. The poem contains Inferno, Purgatorio, and Paradiso. The Inferno is a description of the nine circles of torment that are found on the earth. It depicts the realms of the people that have gone against the spiritual values and who, instead, have chosen bestial appetite, violence, or fraud and malice. The nine circles of hell are limbo, lust, gluttony, greed and wrath. Others are heresy, violence, fraud, and treachery. The purpose of this paper is to examine the Dante’s Inferno in the perspective of its portrayal of God’s image and the justification of hell. 

In this epic poem, God is portrayed as a super being guilty of multiple weaknesses including being egotistic, unjust, and hypocritical. Dante, in this poem, depicts God as being more human than divine by challenging God’s omnipotence. Additionally, the manner in which Dante describes Hell is in full contradiction to the morals of God as written in the Bible. When god arranges Hell to flatter Himself, He commits egotism, a sin that is common among human beings (Cheney, 2016). The weakness is depicted in Limbo and on the Gate of Hell where, for instance, God sends those who do not worship Him to Hell. This implies that failure to worship Him is a sin.

God is also depicted as lacking justice in His actions thus removing the godly image. The injustice is portrayed by the manner in which the sodomites and opportunists are treated. The opportunists are subjected to banner chasing in their lives after death followed by being stung by insects and maggots. They are known to having done neither good nor bad during their lifetimes and, therefore, justice could have demanded that they be granted a neutral punishment having lived a neutral life. The sodomites are also punished unfairly by God when Brunetto Lattini is condemned to hell despite being a good leader (Babor, T. F., McGovern, T., & Robaina, K. (2017). While he commited sodomy, God chooses to ignore all the other good deeds that Brunetto did.

Finally, God is also portrayed as being hypocritical in His actions, a sin that further diminishes His godliness and makes Him more human. A case in point is when God condemns the sin of egotism and goes ahead to commit it repeatedly. Proverbs 29:23 states that “arrogance will bring your downfall, but if you are humble, you will be respected.” When Slattery condemns Dante’s human state as being weak, doubtful, and limited, he is proving God’s hypocrisy because He is also human (Verdicchio, 2015). The actions of God in Hell as portrayed by Dante are inconsistent with the Biblical literature. Both Dante and God are prone to making mistakes, something common among human beings thus making God more human.

To wrap it up, Dante portrays God is more human since He commits the same sins that humans commit: egotism, hypocrisy, and injustice. Hell is justified as being a destination for victims of the mistakes committed by God. The Hell is presented as being a totally different place as compared to what is written about it in the Bible. As a result, reading through the text gives an image of God who is prone to the very mistakes common to humans thus ripping Him off His lofty status of divine and, instead, making Him a mere human. Whether or not Dante did it intentionally is subject to debate but one thing is clear in the poem: the misconstrued notion of God is revealed to future generations.

 

References

Babor, T. F., McGovern, T., & Robaina, K. (2017). Dante’s inferno: Seven deadly sins in scientific publishing and how to avoid them. Addiction Science: A Guide for the Perplexed, 267.

Cheney, L. D. G. (2016). Illustrations for Dante’s Inferno: A Comparative Study of Sandro Botticelli, Giovanni Stradano, and Federico Zuccaro. Cultural and Religious Studies4(8), 487.

Verdicchio, M. (2015). Irony and Desire in Dante’s” Inferno” 27. Italica, 285-297.

Sample Solution

The relationship between volume and temperature is described by the ideal gas law, which states that the pressure (P) of a gas is proportional

Sample Solution

The relationship between volume and temperature is described by the ideal gas law, which states that the pressure (P) of a gas is proportional

The relationship between volume and temperature is described by the ideal gas law, which states that the pressure (P) of a gas is proportional to the product of its volume (V) and temperature (T), and inversely proportional to the number of moles of gas (n) present. This can be expressed mathematically as follows:

PV = nRT

where:

  • P is the pressure of the gas in atmospheres (atm)
  • V is the volume of the gas in liters (L)
  • n is the number of moles of gas in moles (mol)
  • R is the ideal gas constant, which is equal to 0.08206 L⋅atm/mol⋅K
  • T is the temperature of the gas in Kelvin (K)

In your experiment, you kept the pressure and the number of moles of gas constant, and you changed the temperature. As a result, the volume of the gas changed in a predictable way. When you increased the temperature, the volume of the gas increased. When you decreased the temperature, the volume of the gas decreased. This is because the ideal gas law states that the volume of a gas is directly proportional to its temperature when the pressure and the number of moles of gas are held constant.

The following problems can be solved using the ideal gas law:

  1. Calculate the volume of 3 moles of an ideal gas at 325 K and 2.5 atm.

PV = nRT

(2.5 atm)(V) = (3 mol)(0.08206 L⋅atm/mol⋅K)(325 K)

V = 47.9 L

  1. What is the pressure of 2.8 moles of an ideal gas at 298 K stored in a 38.5 L container?

PV = nRT

P = (nRT)/V

P = (2.8 mol)(0.08206 L⋅atm/mol⋅K)(298 K) / 38.5 L

P = 1.7 atm

  1. How many moles of an ideal gas would be present in a 20 L closed container kept at 1 atm and 300 K?

PV = nRT

n = PV/RT

n = (1 atm)(20 L) / (0.08206 L⋅atm/mol⋅K)(300 K)

n = 0.71 mol

  1. Calculate the temperature of an ideal gas at 3 atm pressure kept in a 34 L container. It contains 4 moles of the ideal gas.

PV = nRT

T = PV/nR

T = (3 atm)(34 L) / (4 mol)(0.08206 L⋅atm/mol⋅K)

T = 294 K

 

 

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