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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Redox Reactions

NTA Abhyas 2020 · Chemistry · Redox Reactions

Equal masses of methane and ethane have their total translational...

Equal masses of methane and ethane have their total translational kinetic energy in the ratio 3 : 1, then their temperatures are in the ratio is

Options

  1. A5: 8
  2. B45: 8
  3. C15: 8
  4. D8: 5

Correct answer

D. 8: 5

Step-by-step solution

E1=32×M16RT1{E}_{1} = \dfrac{3}{2} \times \dfrac{M}{16}R{T}_{1}
E2=32×M30RT2{E}_{2} = \dfrac{3}{2} \times \dfrac{M}{30}R{T}_{2}
⇒E1E2=3016T1T2⇒ \dfrac{{E}_{1}}{{E}_{2}} = \dfrac{30}{16}\dfrac{{T}_{1}}{{T}_{2}}
⇒31=3016T1T2⇒T1T2=85⇒ \dfrac{3}{1} = \dfrac{30}{16}\dfrac{{T}_{1}}{{T}_{2}}⇒ \dfrac{{T}_{1}}{{T}_{2}} = \dfrac{8}{5}
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