3 moles of a gas are present in a vessel at a temperature of `27^(@)C` .Calculate the value of gas constant ( R ) in terms of kinetic energy of the molecules of gas -

Options

A. `7.4 xx 10^(-4) ` KE per degree kelvin.
B. `4.5 xx 10^(-4)` KE per degree kelving
C. `7.4 xx 10^(-5) ` KE per degree kelvin
D. None of these

Answer

A

Explanation

K.E. for 1 mole `=3//2 `RT
K.E. for 3 moles
`= 9 //2` RT. or R `= ( 2)/( 9T) KE`
`= ( 2)/( 9 ( 300)) KE `
`= 7.4 xx 10^(-4) ` KE per degree kelving.