Calculate the probability that the speed of a chlorine molecule will lie between 200 m s−1 and 220 m s-1 at 300 K. Given that mass of chlorine molecule = 70u, kB = 1.38 × 10-23 JK-1 and NA = 6.02 × 1026 kmol-1 .
To calculate the probability that the speed of a chlorine molecule will lie between 200 m/s and 220 m/s at 300 K, we can use the Maxwell-Boltzmann speed distribution. The Maxwell-Boltzmann distribution function \( f(v) \) for the speed of molecules in a gas is given by: \[ f(v) = 4 \pi \left( \frac{m}{2 \pi k_B T} \right)^{3/2} v^2 e^{-\frac{mv^2}{2 k_B T}} \] Where: - \( v \) is the speed of the molecule, - \( _________ ______ _______ _____ __________ _________ ______ ___ __________ ______ _________.
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Establish the relation S = k ln W between Thermodynamic probability (W) and entropy (S) .
i) Intensive and Extensive variables,
ii) Quasistatic process,
iii) Isochoric process
iv) Adiabatic boundary,
v) Irreversible process
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where = isobaric coefficient of volume expansion,
r = isothermal compressibility.
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Calculate the probability that the speed of a chlorine molecule will lie between 200 m s−1 and 220 m s-1 at 300 K. Given that mass of chlorine molecule = 70u, kB = 1.38 × 10-23 JK-1 and NA = 6.02 × 1026 kmol-1 .
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