Calculating Gas Temperature Change Using the Ideal Gas Law

AI Thread Summary
The discussion revolves around calculating the new temperature of a gas after it is compressed using the ideal gas law. The initial conditions are a temperature of 293.15 K and atmospheric pressure, with the gas compressed to a volume one-fifteenth of its original size and a pressure of 3000 kPa. The user initially misapplies the formula, leading to confusion about the correct temperature calculation. After clarification, they realize the correct rearrangement of the equation yields a final temperature of 307 K. The conversation highlights the importance of careful manipulation of equations in thermodynamics.
turnip
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Homework Statement


A gas at 293.15 degrees kelvin and atmospheric pressure is compressed to a volume one fifteenth as large as its original volume and absolute pressure of 3000kPa. What is the new temperature of the gas?


Homework Equations


p1v1/t1=p2v2/t2


The Attempt at a Solution


if i rearrange the equation above for t2 i get t2=101/293.15 x 3000 x 1/15= 1.722x10-3

if i do it the wrong way and flip the divisions around so that t2=293.15 x 3000 x 1/15/101 =580.49

i take the 580 - 273 =307

307 is the right answer. perhaps i am doing it the right way, i just don't understand how this could be correct
please explain this to me
 
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turnip said:
if i rearrange the equation above for t2 i get t2=101/293.15 x 3000 x 1/15= 1.722x10-3

u r getting it 1/t2 and not t2.. verify urself.
 
haha can't believe i didnt get that
i need more sleep :P
 
oh and thanks :)
 

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