how do you calculate the normal boiling point of PCl3

You don't without more data than you've provided.

To calculate the normal boiling point of PCl3 (phosphorus trichloride), you can use the Clausius-Clapeyron equation. This equation relates the boiling point of a substance to its vapor pressure at a given temperature.

The equation is:

ln(P2/P1) = -ΔHvap/R * (1/T2 - 1/T1)

where:
- P2 and P1 are the vapor pressures at temperatures T2 and T1, respectively,
- ΔHvap is the enthalpy of vaporization,
- R is the gas constant (8.314 J/(mol·K)),
- T2 and T1 are the temperatures (in Kelvin) at which the vapor pressures are being measured.

To solve for the normal boiling point, you need to find the temperature at which the vapor pressure is equal to standard atmospheric pressure (1 atm). So, you'll set P2 = 1 atm and rearrange the equation as follows:

T2 = [(-ΔHvap / R) * (1/T1)] / [ln(P2 / P1) + 1]

Now, you need the values for ΔHvap and a known vapor pressure at a given temperature, T1. Unfortunately, I don't have that information readily available. You can find experimental data in reference books, scientific literature, or online databases to plug into the equation.

Alternatively, if you can find the Antoine equation coefficients for PCl3, you can use that equation to calculate the boiling point. The Antoine equation relates vapor pressure to temperature and is generally more accurate for a specific compound.