you have 4 samples of ideal gas, each of which contains the same number of moles of gas and has the same initial temperature, volume and pressure. you compress each sample to 1/2 of its initial volume. which sample has the highest value of final pressure?
An ideal gas is a physical thermodynamic model for the behavior of matter in the gaseous state. The model assumes that there is no interaction between gas molecules and that the gas molecules are pointy, so it is suitable for describing gases of low density, as it applies to inert gases such as helium, neon, and argon that do not form molecules and have single atoms. This model was discovered in the 19th century.
you have 4 samples of ideal gas, each of which contains the same number of moles of gas and has the same initial temperature, volume and pressure. you compress each sample to 1/2 of its initial volume. which sample has the highest value of final pressure?
You have four samples of ideal gas, each of which contains the same number of moles of gas, has the same initial temperature, volume and pressure. You compress each sample to one half of its initial volume. Sample 1 is a monoatomic gas compressed isothermally. Sample 2 is a monoatomic gas compressed adiabatically. Sample 3 is a diatomic gas compressed isothermally, Sample 4 is a diatomic gas compressed adiabatically. Rank the four samples in order from highest to lowest value of the final pressure. 2 then 4 then 1 and 3 tie 1 and 2 tie then 3 then 4 2 and 4 tie then 1 then 3 1 then 3 then 2 then 4 4 then 2 then 3 then 1
you have 4 samples of ideal gas, each of which contains the same number of moles of gas and has the same initial temperature, volume and pressure. you compress each sample to 1/2 of its initial volume. which sample has the highest value of final pressure?
the adiabatic cases are the only ones to consider. For an adiabatic reversible expansion or compression, we have
PVγ=const
where γ=1.67 for a monatomic gas and γ=1.4 for a diatomic gas. For an ideal gas, it then follows that
TV(γ−1)=const
or
T2T1=(V1V2)(γ−1)
This means that the temperature increase will be greater for a monoatomic gas than a diatomic gas.
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answered Nov 5, 2019 at 14:07
Chet Miller’s user avatar
Chet Miller
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seems like I’m thinking from another way. Could I ask how did you get