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Mechanical Properties Of Fluids

Question
CBSEENPH11020655
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Two vessels separately contain two ideal gases A and B the same temperature, the pressure of A being twice that of B. Under such conditions, the density of A is found to be 1.5 times the density of B. The ratio of molecular weight of A and B is

  • 2/3

  • 3/4

  • 2

  • 1/2

Solution

B.

3/4

stack box enclose Ideal space Gas space space straight A end enclose with straight T below and Vessel space minus space straight I on top space space space space space space space space space space space space stack box enclose Ideal space Gas space straight B end enclose with straight T below and Vessel space minus space II on top straight rho subscript straight A space equals space 1.5 space straight rho subscript straight B space space space space space space space space space space space space space space space space space straight rho subscript straight B straight rho subscript straight B space equals space 2 straight rho subscript straight B 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 end subscript straight p subscript straight B According space to space ideal space gas space equation space comma space we space have pressure comma space straight p space equals space ρRT over straight M comma space where space straight M space is space molecular space weight of space ideal space gas. such space that space comma space straight p over straight rho space equals space RT over straight M rightwards double arrow space straight M space equals space ρRT over straight P Where comma space straight R space and space straight T space are space constants so comma space straight M proportional to space straight rho over straight p rightwards double arrow space straight M subscript straight A over straight M subscript straight B space equals space straight rho subscript straight A over straight rho subscript straight B space straight x space straight p subscript straight B over straight p subscript straight A space equals space 1.5 space straight x space 1 half space equals space 0.75 space equals space 3 over 4

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