Celsius to Kelvin Conversion: Solving for T2

The given data is T1=27 degree celcius, but the expected answer is 40.5 degree celcius. This is not possible because the ideal gas law only works with Kelvin temperature, so the expected answer should be in Kelvin. Your answer of 450.225 K, which is equivalent to 177.075 degree celcius, is correct. It is unclear why the expected answer is different.
  • #1
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 celcius
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 celcius
=40.5 degree celcius
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 celcius it gives 177.075 degree celcius
Thus T2=450.225 K=177.075 degree celcius "≠"40.5 degree celcius
where I am wrong?
 
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  • #2
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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Likes gracy
  • #3
gracy said:
So given data is T1=27 degree celcius
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 Celcius?

If not mistaken, then your answer appears correct.
 
  • #4
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 Celcius?

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

Related to Celsius to Kelvin Conversion: Solving for T2

1. What is the formula for converting Celsius to Kelvin?

The formula for converting Celsius (°C) to Kelvin (K) is: T2 = T1 + 273.15, where T2 is the temperature in Kelvin and T1 is the temperature in Celsius.

2. Why is it important to convert temperatures from Celsius to Kelvin?

Kelvin is the standard unit of temperature in the scientific community. It is based on absolute zero, which is the theoretical lowest temperature possible. Converting temperatures from Celsius to Kelvin allows for more accurate and precise measurements in scientific experiments and calculations.

3. Can you convert a negative temperature from Celsius to Kelvin?

Yes, you can convert a negative temperature from Celsius to Kelvin. Unlike Celsius, which has its zero point at the freezing point of water, Kelvin has its zero point at absolute zero. This means that all temperatures on the Kelvin scale are positive, including those that are negative on the Celsius scale.

4. How do you solve for T2 when converting from Celsius to Kelvin?

To solve for T2, you simply need to add 273.15 to the temperature in Celsius (T1). This will give you the temperature in Kelvin (T2) using the formula T2 = T1 + 273.15.

5. Can you convert temperatures from Kelvin to Celsius using the same formula?

Yes, you can convert temperatures from Kelvin to Celsius using the formula T1 = T2 - 273.15. This is the inverse of the Celsius to Kelvin conversion formula, and it will give you the temperature in Celsius (T1) when you subtract 273.15 from the temperature in Kelvin (T2).

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