Easy Gas Compression question PV=nRT

AI Thread Summary
Compressing an ideal gas to half its original volume while also halving its absolute temperature leads to a specific relationship between pressure, volume, and temperature. Using the ideal gas law (PV=nRT), the equation of state can be rearranged to show that P1V1/T1 = P2V2/T2. Substituting V2 = V1/2 and T2 = T1/2 into the equation reveals that the pressure remains constant. Therefore, the correct answer to the problem is that the pressure of the gas remains constant during this process. Understanding these relationships is crucial for solving gas compression problems accurately.
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Homework Statement


Suppose you compress an ideal gas to half its original volume, while also halving its absolute temperature. During this process, the pressure of the gas (a) halves (b) remains constant (c) doubles (d) x4


Homework Equations


PV=nRT




The Attempt at a Solution


P*2V=nR*.5T?
(d) Quadruples
the answer however is (b)
 
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half its original volume

Take a closer look at what you did instead.
 
fallen186 said:

Homework Statement


Suppose you compress an ideal gas to half its original volume, while also halving its absolute temperature. During this process, the pressure of the gas (a) halves (b) remains constant (c) doubles (d) x4
Equation of states can be written as
P1V1/T1 = P2V2/T2
In second state V2 =(V1)/2 and T2 = (T1)/2
Substitute in the above equation and find P2.
 

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