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Standard XII

Mathematics

Definition of Relations

Find the degr...

Question

Find the degree of freedom of $C O_{2}$ at room temperature?
(Given: $C O_{2}$ has linear structure at room temperature)

6

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Solution

The correct option is C $7$
We know that,
At room temperature, $C O_{2}$ has linear structure.
Degree of freedom,
$f = 3 A - B$
where $A =$ No. of independent particle
$B =$ No. of independent restrictions
Here, $A = 3$ (Triatomic)
As $C O_{2}$ has linear structure,
$∴ B = 2$
(Since we can neglect the rotational degree of freedom along the bond)
So, $f = 3 \times 3 - 2 = 7$

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Find the degree of freedom of CO2 at room temperature? (Given: CO2 has linear structure at room temperature)

Find the degree of freedom of $C O_{2}$ at room temperature?
(Given: $C O_{2}$ has linear structure at room temperature)