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For 1 mole of ideal gas kept at 6.5 atm ...

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

A

`22.4`

B

`2.46`

C

`0.406`

D

`3.25`

Text Solution

Verified by Experts

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