SOLUTION: A certain gas sample has a volume of 40.00 L at 273 K. At constant pressure the volume increase to 50.00 L. What will be the final temperature of the gas?

Algebra ->  Test -> SOLUTION: A certain gas sample has a volume of 40.00 L at 273 K. At constant pressure the volume increase to 50.00 L. What will be the final temperature of the gas?      Log On


   



Question 1196302: A certain gas sample has a volume of 40.00 L at 273 K. At constant pressure the volume increase to 50.00 L. What will be the final temperature of the gas?
Answer by ikleyn(52802) About Me  (Show Source):
You can put this solution on YOUR website!
.
A certain gas sample has a volume of 40.00 L at 273 K. At constant pressure the volume increase to 50.00 L.
What will be the final temperature of the gas?
~~~~~~~~~~~~~~~~~

Use the Charles' law. It states that under constant pressure, an ideal gas' volume is proportional 
to its absolute temperature. The volume of a gas at constant pressure increases linearly with 
the absolute temperature of the gas. The formula he created was 

    V%5B1%5D%2FT%5B1%5D = V%5B2%5D%2FT%5B2%5D,


where T denotes absolute temperature (in Kelvins).


In your case,  40%2F273 = 50%2FT%5B2%5D.


From the proportion,  T%5B2%5D = %28273%2A50%29%2F40 = 341.25 K.    ANSWER

Solved and thoroughly explained.