Question

True False :
For Mono atomic Gases: Cp/Cv is equal to 1.67 R.​

Answer 1

$\huge\underline{\underline{\bf \orange{Question-}}}$

For Mono atomic Gases: Cp/Cv is equal to 1.67 R. ( True or False )

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True

$\huge\underline{\underline{\bf \orange{Solution-}}}$

For Monoatomic gas degree of freedom is f = 3

Now , We know that

✪$\large{\boxed{\bf \blue{C_p=\left(\dfrac{f}{2}+1\right)R}}}$

On Putting Value

$\implies{\sf C_p=\left(\dfrac{3}{2}+1\right)R}$

$\implies{\sf C_p=\dfrac{5}{2}R}$

✪$\large{\boxed{\bf \blue{C_v=\dfrac{f}{2}R} }}$

$\implies{\sf C_v=\dfrac{3}{2}R}$

❏ Ratio

$\implies{\sf \dfrac{C_p}{C_v}=\dfrac{5/2R}{3/2R}}$

$\implies{\bf \red{ \dfrac{C_p}{C_v}=1.67 }}$

Hence , its proved that ${\bf \red{\dfrac{C_p}{C_v}=1.67}}$.

Answer 2

Answer:

hence the ratio is 1.68