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In a vessel, whose volume is 1l, there i...

In a vessel, whose volume is `1l`, there is a gas, which is a compound of oxygen and nitrogen. Mass of gas is 1g, gas's temperature is `17_(0)C` and pressure of the gas is `31.7 k P.a`. Determine the chemical formula of compound of `(R=8.31 J//mol -K)`:-

A

`NO`

B

`NO_(2)`

C

`N_(2)O`

D

`N_(2)O_(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`PV = (m)/(M)RT`
`M = (mRT)/(PV)`
`((10^(-3))(8.31)(290))/((31.7xx10^(3))(10^(-3))) = 0.076kg mol^(-1)`
`= 76 gm mol^(-1)`
so `76 = 14 x+16y`
for `x & y` both to be natural numbers
`x=2` and `y=3`
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