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The ratio between the most probable spee...

The ratio between the most probable speed of
`N_(2)` at 400 K and CO at 800 K is (molar mass of `N_(2)=28 " g mol" ^(-1)`, molar mass of `CO=28 " g mol "^(-1)`)

A

0.75

B

0.25

C

0.707

D

1.414

Text Solution

Verified by Experts

The correct Answer is:
C
Most probable speed `=sqrt((2RT)/(M))`
Molar mass of `N_(2)= 28 " g mol "^(-1)`
Molar mass of CO = 28 g `" mol"^(-1)`
`N_(2)` at 400 K
CO at 800 K
Ratio between the most probable speed of
`N_2CO= sqrt((2RT_(1))/(M_(2)))/(sqrt(2RT_(2))/(M_(2)))=sqrt((2Rxx400)/(28))/sqrt((2Rxx800)/28)`
`=sqrt((400)/(800))=sqrt(1/2)=sqrt0.5`
Remaining ratio `r_((N_(2))):r_((CO))` = 1 : 0. 707
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