Determine the value of universal gas constant R and gas constant K for 1g of air. {At STP the density of air =`1.293 g.L^-1` and that of mercury =`13.6 g.cm^-3`)

Explanation

Pressure `p=76 times 13.6 times 980 dyn.cm^-2` and temperature `=0^@C=273 K`
Volume of 1 mol of any gas at STP =22.4 L =`22400 cm^3`
`thereforeR=(pV)/T=(76times13.6times980times22400)/273`
`=8.31 times10^7erg.mol^-1.K^-1`
Now volume of 1g air,
`v=1/1.293l=1000/1.293cm^3`
`thereforek=(pv)/T=(76times13.6times980times1000)/(1.293times273)`
`=0.287 times 10^7 erg.g^-1.K^-1`