The molecular theory states that the pressure exerted by a gas in a closed vessel results from the gas molecule is striking against the walls of the vessel how will the pressure change if:

(a)the temperature is doubled keeping the volume constant

(b)the volume is made half of its original volume.

Asked by Abhishek | 4th Jan, 2018, 07:20: PM

Expert Answer:

open parentheses straight a close parentheses space If space the space temparature space is space doubled

space Ideal space gas space equation comma

space PV equals space nRT space space.......... open parentheses 1 close parentheses

space straight T equals 2 straight T subscript 1 space and space volume space is space constant


space therefore space straight P to the power of apostrophe straight V equals vR 2 straight T space space space............ open parentheses 2 close parentheses

space Divide space eq space open parentheses 2 close parentheses space by space open parentheses 1 close parentheses

space space space fraction numerator straight P up diagonal strike blank to the power of apostrophe straight V end strike over denominator straight P up diagonal strike straight V end fraction equals fraction numerator space up diagonal strike nRT over denominator up diagonal strike nR 2 up diagonal strike straight T end fraction

space space fraction numerator straight P apostrophe over denominator straight P end fraction equals 2

space space straight P apostrophe space equals space 2 straight P

Hence comma space when space temperature space is space doubled space pressure space of space the space gas space becomes space double space at space contant space volume.

open parentheses straight b close parentheses space When space volume space is space made space half space of space its space original space value

According space to space Boyle apostrophe straight s space law comma space pressure space ansd space volume space are space inversally space proportional space to space each space othr space at space constant space temperature.

space space space space space space space straight P proportional to 1 over straight V

space therefore space space When space volume space is space made space half space of space its space original space value comma space pressure space becomes space double space of space its space original space value.

Answered by Varsha | 4th Jan, 2018, 07:59: PM