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  • 06-05-2020
  • Physics
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A box contains about 5.54 1021 hydrogen
atoms at room temperature 21°C.
Find the thermal energy of these atoms.
Answer in units of J.

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  • 12-05-2020

Answer:[tex]E=33.71\ J[/tex]

Explanation:

Given

No of atoms of hydrogen [tex]N=5.54\times 10^{21}[/tex]

Temperature of room [tex]T=21^{\circ}\approx 294\ K[/tex]

Thermal energy of the atoms is given by

[tex]E=\frac{3}{2}NkT[/tex]

where k=boltzmann constant

[tex]E=\frac{3}{2}\times 5.54\times 10^{21}\times 1.38\times 10^{-23}\times 294[/tex]

[tex]E=33.71\ J[/tex]

Hence the energy of the atoms is [tex]33.71\ J[/tex]

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