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In monatomic gases, ratio of specific heat at constant pressure to that at constant volume is
  • a)
    4/3
  • b)
    5/3
  • c)
    5/4
  • d)
    7/5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In monatomic gases, ratio of specific heat at constant pressure to tha...
Ratio of specific heat at constant pressure to constant volume in monatomic gases
Monatomic gases consist of single atoms as the basic unit. The ratio of specific heat at constant pressure (Cp) to that at constant volume (Cv) for monatomic gases is given by the formula:

Cp/Cv = (γ)
where γ is the ratio of specific heats.

Calculation of the ratio
For monatomic gases, the degrees of freedom are 3, which means the molar specific heat capacities are:

Cv = (3/2)R

Cp = (5/2)R
where R is the gas constant.
Therefore, the ratio of specific heat at constant pressure to constant volume for monatomic gases is:

γ = Cp/Cv = (5/2)R / (3/2)R = 5/3
Therefore, the correct answer is option B which is 5/3. This ratio represents the relationship between the specific heat capacities at constant pressure and constant volume for monatomic gases.
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In monatomic gases, ratio of specific heat at constant pressure to that at constant volume isa)4/3b)5/3c)5/4d)7/5Correct answer is option 'B'. Can you explain this answer?
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