1.

A vessel contains one mole of O_2 gas (molar mass 32) at a temperature T. The pressure of the gas 1s.What will be the pressure of one mole of He (molar mass 4) at a temperature 2t in an identical vessel?

Answer»

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Solution :Pressure of oxygen at temperature T is
Let the pressure of Helium be `P_("He")`at a temperature 2 T
Number of molecules of Helium
`n_("OXY")=32/16=2`
Number of molecules of Oxygen
`n_(He) = 4/2=2`
It is GIVEN that `(V_("OXY"))/(V_("He)) = 1`
From standard GAS equation
`P=(nRT)/V`
We get , `P_("He")/(P_("OXY"))=(n_(He))/(n_("OXY"))xxT_(He)/(T_("OXY"))xxV_("OXY")/(V_(He))`
`P_("He")/(P_("OXY"))=2/2xx(2T)/Txx1`
`:. (P_(He))/(P_("OXY"))=2`
`:.`Pressure of 1 mole of Helium
=2 `xx` Pressure of 1 mole of oxygen


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