Celsius to Kelvin Conversion: Solving for T2

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SUMMARY

The discussion centers on the conversion of temperature from Celsius to Kelvin in the context of the ideal gas law. The initial temperature T1 is given as 27 degrees Celsius, with pressures P1 at 80 cm and P2 at 120 cm. The correct calculation for T2, using the formula T2 = (P2/P1) * (T1 + 273.15), results in T2 = 450.225 K, which converts to 177.075 degrees Celsius. The error in the initial calculation was due to using Celsius instead of Kelvin, highlighting the necessity of using absolute temperature in gas law equations.

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gracy
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Homework Statement


At constant volume and number of moles T1/T2=P1/P2
As per ideal gas equation
So given data is T1=27 degree celsius
P1=80 Cm ,P2=120 Cm T2=?

Homework Equations


T2=P2/P1 multiplied T1

The Attempt at a Solution

:120 cm/80cm multiplied by 27 degree celsius
=40.5 degree celsius
It is wrong because if it is done for klelvin

120 cm/80cm multiplied by (27+273.15)[/B]
T2=450.225 K
This 450.225 K is when converted into celsius it gives 177.075 degree celsius
Thus T2=450.225 K=177.075 degree celsius "≠"40.5 degree celsius
where I am wrong?
 
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The 177C is correct and the 40.5C is wrong. The ideal gas law only works with Kelvin temperature and is not supposed to work with Celsius temperature.

Chet
 
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gracy said:
So given data is T1=27 degree celsius
It seems that the expected answer was determined as though the data was already in Kelvin. Is there a possibility that you mistook it for celsius?

If not mistaken, then your answer appears correct.
 
NascentOxygen said:
It seems that the expected answer was determined as though the data was already in Kelvin. Is there a possibility that you mistook it for celsius?

If not mistaken, then your answer appears correct.
I did not understand.
 

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