One half mole each of nitrogen, oxygen and carbon dioxide are mixed in enclosure of volume 5 litres and temperature `27^(@) C`. Calculate the pressure exerted by the mixture. Given `R = 8.31 J mol^(-1) K^(-1)`.

Options

A. `7.48xx10^(5)Nm^(-2)`
B. `5xx10^(5)Nm^(2)`
C. `6xx10^(5)Nm^(2)`
D. `3xx10^(5)Nm^(-2)`

Answer

A

Explanation

Using, Dalton's low of partial pressures,
`P=P_(1)+P_(2)+P_(3)`
`=(nRT)/(V)+(nRT)/(V)+(nRT)/(V)=(3nRT)/(V)`
Here, `1/2,T=24^(@)C=27+273=300K`
`V=5xx10^(-3)m^(3)`
`thereforeP=(3xx8.31xx300)/(2xx5xx10^(-3)),P=7.48xx10^(5)Nm^(-2)`