At what temperature will the hydrogen molecules have the same kinetic ...
Explanation:
- We know that the kinetic energy of a gas molecule is given by the formula:
K.E. = (3/2) kT
- Here, k is the Boltzmann constant, T is the temperature in Kelvin and (3/2) is the degree of freedom of a gas molecule.
- For diatomic molecules like hydrogen and nitrogen, the degree of freedom is 5 (3 translational and 2 rotational).
- Now, we need to find the temperature at which hydrogen molecules have the same kinetic energy per mole as nitrogen molecules at 280 K.
- Let us assume that the kinetic energy per mole of nitrogen molecules at 280 K is K.
K = (3/2) kTN
- Similarly, the kinetic energy per mole of hydrogen molecules at the same temperature is:
(3/2) kTH
- Now, we need to find the temperature at which both these kinetic energies are equal:
(3/2) kTN = (3/2) kTH
TH = TN
- So, the temperature at which hydrogen molecules have the same kinetic energy per mole as nitrogen molecules at 280 K is 280 K.
Therefore, option A is the correct answer.
At what temperature will the hydrogen molecules have the same kinetic ...
At what temperature will hydrogen molecules have the same kinetic energy as nitrogen molecules have at 35 degree celsius at 280 K
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