Question

If universal gas constant is 8.3 joule/mole-Kand the Avogadro's number is 6 x 10²³, then mean kinetic energy of the oxygen molecules at 427 °C will be ______.

Options

• 415 x 10^-23 joule

• 1245 x 10^-23 joule

• 1452 x 10^-23 joule

• 2490 x 10^-23 joule

Answer 1

If universal gas constant is 8.3 joule/mole-Kand the Avogadro's number is 6 x 10²³, then mean kinetic energy of the oxygen molecules at 427 °C will be 1452 x 10^-23 joule. 

Explanation:

`"E" "k" = 3/2 "KT" = 3/2 "R"/"N"_"A" "T"`

∴ `"E" "k" = (3 xx 8.3 xx 700)/(2 xx 6xx 10^-23) "J" = 1452 xx 10^-23 "J"`