Easy Gas Compression question PV=nRT

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SUMMARY

The discussion centers on the behavior of an ideal gas under compression, specifically when its volume is halved and its absolute temperature is also halved. Using the ideal gas law (PV=nRT) and the equation of state (P1V1/T1 = P2V2/T2), it is established that the pressure of the gas remains constant during this process. The correct answer to the posed question is (b) remains constant, contrary to initial assumptions that the pressure would halve or quadruple.

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fallen186
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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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