d) Boltzmann

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Last updated 7:51 PM on 10/2/26
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6 Terms

1
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  • Maxwell-Boltzmann distribution


  • the range of speeds of gas particles


2
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  • state how an increase in temperature affects the Maxwell-Boltzmann distribution


  • the range of speeds increases

  • the modal speed increases

  • the root mean square speed increases


<ul><li><p>the range of speeds increases</p></li><li><p>the modal speed increases</p></li><li><p>the root mean square speed increases</p></li></ul><p></p>
3
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  • the formula for the Boltzmann constant


  • k = R/NA

    • Boltzmann constant (JK-1) = molar gas constant (JK-1mol-1) / Avogadro constant (mol-1)


4
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  • the formula linking Boyle’s Law with the Boltzmann constant


  • pV = NkT

    • pressure (Pa) x volume (m3) = number of particles x Boltzmann constant (JK-1) x temperature (K)


5
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  • the formula linking the average kinetic energy of gas particles and the temperature of a gas


  • ½m(c2bar) = (3/2)kT

    • ½ × mass of one particle (kg) × mean square speed (ms-1) = (3/2) × Boltzmann constant (JK-1) × temperature (K)


6
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  • the relationship between the average kinetic energy of gas particles and the temperature of a gas


  • Ek directly proportional T