e) Write an expression for the partition function for an ideal gas made up of N indistinguishable particles. Using this expression, obtain Sackur-Tetrode equation.
### Partition Function for an Ideal Gas For an ideal gas consisting of \( N \) indistinguishable particles, the canonical partition function is given by: \[ Z_N = \frac{Z_1^N}{N!} \] where \( Z_1 \) is the single-particle partition function: \[ Z_1 = \frac{V}{\Lambda^3} \] Here, \( \Lambda \) is the thermal de Broglie wavelength, given by: \[ \Lambda = \frac{h}{\sqrt{2\pi m k_B T}} \] where: - \( h _______ __________ ____ _______ __________ ______ _________ _________ ________ __________ ___ _____.
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b) Explain the working of a platinum resistance thermometer with the help of a neat and labelled diagram. State the reasons for using platinum for the construction of a resistance thermometer.
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.
c) Calculate the coefficient of viscosity of hydrogen at STP. Take
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diagrams. With the help of diagram, show tha
where
is the amount of heat absorbed at temperature
and
is the amount of heat rejected at temperature
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The mean speed of oxygen molecules is 450
If the radius of an oxygen molecule is 1.8 Å, calculate mean time between two successive collisions and mean free path. Take