For 1 mole of ideal gas kept at `6.5 atm` in a container of capacity `2.463 L`, the Avogadro proportionality constant is:

Options

A. 22.4
B. 2.46
C. 0.406
D. 3.25

Answer

C

Explanation

From Avogadro.s hypothesis , n `prop V implies n = kV " " …. (1)`
For 1 mol of an ideal gas , PV = RT or `T = (pV)/( R) = (6.5 xx 2.463)/(0.0821) = 195 K`
From ideal gas law , pV = nRT , we have n =` (pV)/(RT) " " ….. (2)`
From Eqs. (1) and (2) , we get `k = (p)/(RT) = (6.5)/(0.0821 xx 195) = 0.406`