1.

Gases best follow the facts given below A) An ideal gas obeys the mathematical relation PV=nRT B) Rates of diffusion of two gases are in the reciprocal ratio of square roots of their molecular weight C) Total pressure of a mixture of non reacting gases is given by the algebric sum of their partial pressure An ideal gas is captured in a glass tube of uniform arca of cross section by awater column at a given temperature as shown If the tube is held vertical, by what length the water column descends down? (Density of mercury=13.6gm/cc) (P_(atm)=76cm of Hg)

Answer»

2.2 cm
3.2 cm
1.03 cm
4.07 cm

Solution :Pressure DUE to water column in terms of mercury is given by `h_1d_1 = h_2d_2`
`27.2 xx 1 = h_2 xx 13.6 implies h_2 = 2 cm`
When HELD vertical , `P_("gas") = P_("atm") + 2 cm of Hg`
`= 76+ 2`
`= 78 cm of Hg`.
`P_1 V_1= P_2V_2 = > 76 xx 40 xx A = 78 xx l xx A`
`implies l = 38.97 implies "DESCENT" = 40 - 38.97`
`= 1.03 cm`.


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