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Question: \(CO_{2}(O - C - O)\) is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro...

CO2(OCO)CO_{2}(O - C - O) is a triatomic gas. Mean kinetic energy of one gram gas will be (If N-Avogadro's number, k-Boltzmann's constant and molecular weight of CO2=44CO_{2} = 44)

A

3/88NkT3/88NkT

B

5/88NkT5/88NkT

C

6/88NkT6/88NkT

D

7/88NkT7/88NkT

Answer

7/88NkT7/88NkT

Explanation

Solution

Mean kinetic energy for μ mole gas =μ.f2RT= \mu.\frac{f}{2}RT

E=μ72RT=(mM)72NkT=144(72)NkTE = \mu\frac{7}{2}RT = \left( \frac{m}{M} \right)\frac{7}{2}NkT = \frac{1}{44}\left( \frac{7}{2} \right)NkT

=788NkT= \frac{7}{88}NkT [As f = 7 and M = 44 for CO2CO_{2}]