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The volume of a given mass of a gas with some pieces of marble in the container at 76 cm pressure is 100 ml if the pressure is changed to 100 cm . The new volume is 80 ml.Find the volume occupied by the marble chips . Temperature constant.

Asked by Rayeesa 1st February 2018, 6:17 AM
Answered by Expert
Answer:
Let space the space volume space occupied space by space the space marble space piece space equals space straight V space ml

At space 760 space mm space Hg comma space the space volume space occupied space by space the space gas space equals space left parenthesis 100 minus straight V right parenthesis space ml

At space 1000 space mm space Hg comma space space the space volume space occupied space by space the space gas space equals space left parenthesis 80 minus straight V right parenthesis space ml

By space Boyle apostrophe straight s space law comma space straight P subscript 1 straight V subscript 1 space equals space straight P subscript 2 straight V subscript 2

space space space space space space space space space space space space space space therefore space 760 space cross times space left parenthesis 100 minus straight V right parenthesis space equals space 1000 space cross times space left parenthesis 80 minus straight V right parenthesis

space space space space space space space space space space space space space space space space space space space 76000 minus space 760 straight V space space space equals space 80000 space minus space 1000 space straight V

space space space space space space space space space space space space space space space space space space 1000 space straight V space space minus space 760 straight V space equals space space space 80000 space minus space 76000


space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 240 space straight V space space space space equals space space space 4000

space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight V space space equals 4000 over 240 space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space
space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space straight V space equals space 16.6 space ml

The space volume space occupied space by space marble space piece space is space 16.6 space ml space space space space space space space space space space space
Answered by Expert 1st February 2018, 5:19 PM
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