When a sample of pure water is heated by a pulse of microwave radiation the equilibrium in the water dissociation reaction is shifted. The relaxation time for the re-establishment of equilibrium at 25^{\circ}\text{C} is 36 microseconds. Calculate k_1 and k_{-1} in \text{H}^++\text{OH}^-\xrightleftharpoons[k_{-1}]{k_1}\text{H}_2\text{O}. Ion product of water at 25^{\circ}\text{C} is 10^{-14}.

2Medium10 marks

Write Maxwell's distribution of molecular velocities for gases. What is the effect of temperature on the distribution ? Represent graphically.

3Medium15 marks

Use third law of thermodynamics to show that absolute zero of temperature is unattainable.

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