alleryStart learning →What is the value of the Boltzmann constant k used in the ideal gas law?
A1.38 x 10^-23 J/K
B1.38 x 10^23 J/K
C6.02 x 10^23 J/K
D8.31 x 10^-23 J/K
Answer & Solution
Correct answer: A. 1.38 x 10^-23 J/K
1. The Boltzmann constant is introduced alongside the ideal gas law PV = NkT.
2. Its value is given as 1.38 x 10^-23 J/K.
3. 1.38 x 10^23 J/K flips the sign of the exponent, a common slip.
4. 6.02 x 10^23 J/K is Avogadro's number, a different constant entirely, and 8.31 x 10^-23 J/K does not match the stated value.
5. So 1.38 x 10^-23 J/K is correct.
_Source: OpenStax Physics (CC BY 4.0), Ch 12 "Thermodynamics", section 12.2 First law of Thermodynamics: Thermal Energy and Work_
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