Answer :
Final answer:
The vapor pressure of the liquid at 50°C can be calculated using the Clausius-Clapeyron equation, which requires the enthalpy of vaporization, the boiling point of the liquid, and the temperature at which the vapor pressure is to be calculated. The temperature must be in Kelvin and the enthalpy of vaporization must be in J/mol when using the equation.
Explanation:
The vapor pressure of a liquid at a specific temperature can be calculated using the Clausius-Clapeyron equation, which is a logarithmic relationship between vapor pressure and temperature. This equation is defined as:
ln(P2/P1) = -ΔHvap/R * (1/T2 - 1/T1)where:P2 is the vapor pressure at temperature T2,
P1 is the vapor pressure at temperature T1 (which is the boiling point, so the vapor pressure will be 1 atm),
ΔHvap is the enthalpy of vaporization,
R is the gas constant (8.314 J/mol*K),
T2 and T1 are the temperatures in Kelvin.
First, convert the temperature 50.0 °C to Kelvin by adding 273.15 (323.15 K). Now plug the given and calculated values into the Clausius-Clapeyron equation to calculate the vapor pressure at 50 degrees Celsius. Be careful with the units for the enthalpy of vaporization (should be in J/mol) and the temperature (should be in Kelvin).
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