If a gas is compressed to half of its original volume at 27C, to what temperature should it be heated to make it occupy its original volume ?

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Submitted by examrobotsa on

Q: 93 (IAS/1994)
If a gas is compressed to half of its original volume at 27°C, to what temperature should it be heated to make it occupy its original volume ?

question_subject: 

Science

question_exam: 

IAS

stats: 

0,32,54,32,11,27,16

keywords: 

{'temperature': [0, 1, 1, 7], 'original volume': [0, 1, 0, 0], 'gas': [9, 1, 9, 27], 'half': [5, 2, 5, 2]}

To solve this problem, we can use Charles`s Law, which states that the volume of a gas is directly proportional to its temperature, assuming constant pressure.

Given:

- The gas is compressed to half of its original volume at 27°C.

To find the temperature at which the gas will occupy its original volume again, we need to determine the temperature when the volume is halved.

According to Charles`s Law, if the volume is halved, the temperature should also be halved to maintain the proportionality.

So, if the gas is compressed to half of its original volume at 27°C, we need to heat it to 27°C/2 = 13.5°C to make it occupy its original volume.

Therefore, the temperature to which the gas should be heated to make it occupy its original volume is 13.5°C.

Please note that the options provided in the question (327°C, 600°C, 54°C, 300°C) do not match the correct answer calculated using Charles`s Law.