The mean kinetic energy of a molecule at $0^{\large\circ}C$ is $5.62\times10^{-14} erg$ . Calculate Boltzmann's Constant . If the value of $R = 8.314\times10^7 erg$ . and also calculate the no. of molecules present in one mole of gas.

Question

$\begin {array} {1 1}(a)\;1.372\times10^{-16}erg\;molecule^{-1}K , 6.059\times10^{23}\\(b)\;1.372\times10^{-19}erg\;molecule^{-1}K , 6.059\times10^{20}\\(c)\;1.372\times10^{-14}erg\;molecule^{-1}K , 6.059\times10^{14}\\(d)\;1.372\times10^{-15}erg\;molecule^{-1}K , 6.059\times10^{19}\end {array}$