How to Calculate the Pressure a Can of Hair Spray Using Freon-12 Had to Withstand?

Question:

What is the pressure that a can of hair spray using Freon-12 had to withstand at 40°C?

Answer:

The pressure that a can of hair spray using Freon-12 had to withstand at 40°C is 9.1 atm.

To calculate the pressure that a can of hair spray using Freon-12 had to withstand at 40°C, we can use the Clausius-Clapeyron formula. This formula relates the vapor pressure of a substance to its enthalpy of vaporization and temperature.

The formula is as follows:

ln(P2/P1) = -ΔHvap/R * (1/T2 - 1/T1)

Where:

P1 = 1 atm (normal atmospheric pressure)

P2 = pressure we need to find

ΔHvap = 20.25 kJ/mol

T1 = boiling point temperature = 243.95 K

T2 = temperature in sunlight = 313.15 K

By plugging in the values and solving the equation, we find that the pressure that a can of hair spray using Freon-12 had to withstand at 40°C is 9.1 atm.

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