Change in temperature between the initial and final state of the gas?

In summary, the change in temperature between the initial and final state of the gas is calculated using the formula (Pi*Vi)/Ti = (Pf*Vf)/Tf, where Pi is the initial pressure, Vi is the initial volume, Pf is the final pressure, Vf is the final volume, and Ti and Tf are the initial and final temperatures respectively. It seems that the error in calculating the final temperature may be due to a mistake in the final temperature calculation.
  • #1
mattmannmf
172
0
Not sure what I am doing wrong

What is the change in temperature between the initial and final state of the gas?

A) A monatomic, ideal gas is in a sealed container (the number of gas molecules is always constant: n = 2 moles); the initial pressure is Pi = 1.01 x 10^5 Pa and the initial volume is Vi = 0.0224 m3.

First, the volume of the gas is decreased at a constant pressure (at Pi = 1.01 x 10^5 Pa) to a final volume of Vf = 0.0155 m3.
Second, the pressure of the gas is increased at a constant volume (at Vf = 0.0155 m3) to a final pressure of Pf = 1.35 x 10^5 Pa.

R=8.13 (given)

Initial Temp= (1.01x10^5*.0224)/(8.13*2)= 136 (this is correct)
Final temp= (1.35x10^5*.0155)/(8.13*2)= 128.7

Delta T= Tf-Ti...128.7-136= -7.3 (which isn't correct)

what am i doing wrong...
 
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  • #2
It must be the final temp that I am doing wrong
 
  • #3
Try,

(Pi*Vi)/Ti = (Pf*Vf)/Tf

solve for Tf
 

Related to Change in temperature between the initial and final state of the gas?

1. What causes a change in temperature between the initial and final state of a gas?

The change in temperature between the initial and final state of a gas is caused by the transfer of thermal energy. This can occur through various processes such as heating or cooling, compression or expansion, and chemical reactions.

2. How does a change in temperature affect the properties of a gas?

A change in temperature can affect the properties of a gas in several ways. It can alter the pressure, volume, and density of the gas, as well as its internal energy and the speed of its particles.

3. What factors can influence the magnitude of the change in temperature of a gas?

The magnitude of the change in temperature of a gas can be influenced by several factors, including the amount of heat transferred, the type of gas, the initial and final pressure and volume, and any external forces or work done on the gas.

4. How is the change in temperature of a gas calculated?

The change in temperature of a gas can be calculated using the ideal gas law, which states that the product of pressure and volume is directly proportional to the temperature. It can also be calculated using the specific heat capacity of the gas and the amount of heat transferred.

5. Can the change in temperature of a gas be reversed?

Yes, the change in temperature of a gas can be reversed by reversing the process that caused it. For example, if a gas was heated and its temperature increased, it can be cooled to return to its initial temperature. However, this is subject to the laws of thermodynamics, which state that energy can neither be created nor destroyed, only transferred or converted into other forms.

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