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GK QUESTION#3109

For an ideal gas, kB = PV/(NT), where N is the number of molecules. Which option gives the approximate value of the Boltzmann constant kB?

  1. A1.38 ×10⁻²³J K⁻¹Correct answer
  2. B1.08 ×10⁻²³J K⁻¹
  3. C1.68 ×10⁻²³J K⁻¹
  4. D0.38 ×10⁻²³J K⁻¹
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Answer

A. 1.38 ×10⁻²³J K⁻¹

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Explanation

For an ideal gas, PV = N kB T, where N is the number of molecules. The Boltzmann constant is exactly 1.380649 × 10⁻²³ J/K in the SI, approximately 1.38 × 10⁻²³ J/K to three significant figures. Both N and T are in the denominator of PV/(NT).

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