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NEET Class neet Answered

an ideal gas kept in open container at initial temperature 60 degree centigrate . when it is heated to T temperature 1/4th of gas is kept out of container , find out the value of T.
Asked by musira29rahman | 12 Oct, 2019, 03:28: PM
answered-by-expert Expert Answer
For ideal gas, we have , pV = nRT
 
where p is pressure, V is volume of container, n is number of moles, R is gas constant and T is absolute temperature
 
Let at T = 60°C = 333 K ,   we have n moles present in container.
 
when it is heated 1/4 th of gas has been driven out means, only 3/4 th of n moles are in the container.
 
Since volume of cotainer is constant , to keep the same pressure, we have
 
n R Ti = (3/4) n R Tf  or  Tf = (4/3)Ti
 
where Ti is initial temperature and Tf is final temperature,  
 
Hence final temperature = (4/3) × 333 = 444 K = 171 °C
Answered by Thiyagarajan K | 12 Oct, 2019, 10:24: PM
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