CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

To what temperature must a neon gas sample be heated to double its pressure if the initial volume of gas at 75°C is decreased by 15.0% by cooling the gas?


Open in App
Solution

Step 1: Given information

  • Initial temperature, T1=75°C
  • Initial pressure, P1.
  • Final pressure P2=2P1
  • Initial volume =V1
  • The final volume is 15.0% of the initial volume.

Step 2: The formula used

  • P1V1T1=P2V2T2
  • P1 is the initial pressure.
  • V1 is the initial volume.
  • P2 is the final pressure.
  • V2 is the final volume.
  • T1 is the initial temperature.
  • T2 is the final temperature.

Step 2: Calculate the final volume

  • The final volume is as follows:

V2=V1-15V1100=0.85V1

Step 4: Convert the temperature from degree Celsius into Kelvin

  • The conversion of degrees Celsius into Kelvin is as follows:

TK=T°C+273T1=75+273=348K

Step 5: Calculate the temperature

  • The final temperature is as follows:

P1V1T1=P2V2T2T2=P2V2T1P1V1=2P1×0.85V1×348KP1V1=591.6K

Therefore, the temperature at which a neon gas sample is heated to double its pressure is 591.6K.


flag
Suggest Corrections
thumbs-up
50
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Variation of Pressure in Fluids
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon