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A saturated vapour is compressed to half its volume without changing its temperature. The result is that:
  • a)
    All the vapour condenses to liquid
  • b)
    Some of the liquid evaporates and the pressure does not change
  • c)
    The pressure is double its initial value
  • d)
    Some of the vapour condenses and the pressure does not change
Correct answer is option 'D'. Can you explain this answer?
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A saturated vapour is compressed to half its volume without changing i...
By compressing a saturated vapour, its vapours condense and pressure remains unchanged. Remember it is not gas.
 
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A saturated vapour is compressed to half its volume without changing i...
Compressing a Saturated Vapour

When a saturated vapour is compressed to half its volume without changing its temperature, the following changes occur:

1. Some of the Vapour Condenses

As the vapour is compressed, its pressure increases. This causes some of the vapour to condense into liquid. However, since the temperature is constant, not all of the vapour condenses.

2. The Pressure Does Not Change

Although compressing the vapour causes some of it to condense, the pressure does not change. This is because the temperature remains constant and the volume is reduced by half. According to the ideal gas law, PV = nRT, when temperature and number of moles of gas are constant, pressure and volume are inversely proportional. Therefore, when the volume is reduced by half, the pressure doubles, which offsets the effect of the condensation and keeps the pressure constant.

3. Some of the Liquid Evaporates

When the vapour is compressed and some of it condenses into liquid, the liquid is in contact with the remaining vapour. This causes some of the liquid to evaporate and become vapour again. However, the amount of liquid that evaporates is less than the amount that condenses, since the pressure and temperature are constant.

Conclusion

When a saturated vapour is compressed to half its volume without changing its temperature, some of the vapour condenses into liquid, some of the liquid evaporates, and the pressure does not change. This is because the increase in pressure due to the reduction in volume offsets the effect of the condensation and keeps the pressure constant.
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A saturated vapour is compressed to half its volume without changing i...
D
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A saturated vapour is compressed to half its volume without changing its temperature. The result is that:a)All the vapour condenses to liquidb)Some of the liquid evaporates and the pressure does not changec)The pressure is double its initial valued)Some of the vapour condenses and the pressure does not changeCorrect answer is option 'D'. Can you explain this answer?
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