for 3 moles of monoatomic gas Cp/Cv is???
Answers
Answer:
As we know, C
v
for monoatomic gas is 3R/2 and for diatomic gas is 5R/2.
So for mixture, Cv =1x3/2 R+3x5/2xR÷4=9/4Rx9/2xR =9.2kal
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Given: 3 moles of monoatomic gas is present
To find: Cp/Cv of the gas
Explanation: Monatomic gas is a type of gas composed of particles (molecules) that consist of single atoms, such as helium or sodium vapour.
A monoatomic gas has 3 degrees of freedom(f).
The formula used for Cv is fR/2 where R is gas constant.
Here, Cv= 3R/2 (f= 3 for monoatomic gas)
Mayer' s formula states that, Cp= Cv+R
= 3R/2 + R
= 5R/2
Now, Cp= 5R/2 and Cv= 3R/2
Therefore, Cp/Cv = (5R/2) / (3R/2)
= 5/3
= 1.66
Therefore, for monoatomic gas Cp/Cv is 1.66