Estimate the boiling point of Bromine. The enthalpy of vaporization of bromine is 30.9kJ/mol The standard entropy values for liquid and gaseous bromine are 152J/mol^ast K and 245J/mol^ast K respectively. Br_(2(liq.));Br_(2(g)) 4)

To estimate the boiling point of bromine, we can use the Clausius-Clapeyron equation, which relates the change in pressure to the change in temperature during a phase transition: where is the pressure, is the temperature, is the enthalpy of vaporization, and is the change in entropy.Given:- Enthalpy of vaporization, - Standard entropy values: - Liquid bromine, - Gaseous bromine, We need to convert the enthalpy of vaporization to the same units as the entropy values: Now, we can calculate the change in entropy: Next, we can integrate the Clausius-Clapeyron equation to find the boiling point: Assuming standard pressure (1 atm) and using the ideal gas law, we can simplify the integral: Since we are estimating the boiling point, we can assume to be the standard pressure (1 atm) and to be the vapor pressure at the boiling point. The vapor pressure of bromine at its boiling point is approximately 2.5 atm.Now, we can solve for the boiling point: Therefore, the estimated boiling point of bromine is approximately 158.8 K.