The pressure exerted by an ideal gas is \({P}=\frac{{{1}}}{{{3}}}\frac{{{M}}}{{{V}}}{C}^{{{2}}}\), where the symbols have their usual meaning. Using standard gas equation, PV = RT, we find that \({C}^{{{2}}}=\frac{{{3}{R}{T}}}{{{M}}}{\quad\text{or}\quad}{C}^{{{2}}}\infty{T}\). Average kinetic energy of translation of one mole of gas \(=\frac{{{1}}}{{{2}}}{M}{C}^{{{2}}}=\frac{{{3}{R}{T}}}{{{2}}}\) with the help of the passage given above, choose the most appropriate alternative for each of the following quetions :
Average thermal energy of one mole of helium at this temperature is (Given gas constant for 1 gram mole \(={8.31}{J}\text{mole}^{{-{1}}}{K}^{{-{1}}}\).
(A) \({3.74}\times{10}^{{{3}}}{J}\)
(B) \({3.74}\times{10}^{{-{3}}}{J}\)
(C) \({3.47}\times{10}^{{{6}}}{J}\)
(D) \({3.47}\times{10}^{{-{6}}}{J}\)