If 2.00 moles of propanol, C3H3O, needed to absorb 110.0 kJ of heat to be vaporized at 97.0 °C (the boiling point), then what was the initial temperature of the propanol? C3H&O(1) → C3H&O(g) AHvan = +47.5 kJ/mole C,(C,H,O) = 2.40 J/g.°C

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If 2.00 moles of propanol, C3H3O, needed to absorb 110.0 kJ of heat to be vaporized at
97.0 °C (the boiling point), then what was the initial temperature of the propanol?
C3H&O(1) → C3H&O(g)
AHvan = +47.5 kJ/mole
C,(C,H,O) = 2.40 J/g.°C
Transcribed Image Text:If 2.00 moles of propanol, C3H3O, needed to absorb 110.0 kJ of heat to be vaporized at 97.0 °C (the boiling point), then what was the initial temperature of the propanol? C3H&O(1) → C3H&O(g) AHvan = +47.5 kJ/mole C,(C,H,O) = 2.40 J/g.°C
Expert Solution
Step 1

Interpretation:

Propanol is initially at some temperature and upon absorption of energy the temperature change to 97°C which is its boiling point. Complete propanol has got vaporized (changed from liquid to gas ).

As energy is absorbed by propanol, it is clear than initial temperature is less than 97°C as absorption of energy results in increase of temperature.

This conversion involves two processes in which energy is absorbed. They are:

  1. Energy required to attain 97°C temperature from initial temperature.
  2. Energy required to vaporize propanol.

To determine the initial temperature of propanol the energy involved in raising the temperature is determined by substracting the energy required for vaporization from total energy absorbed.

 

Step 2: Determination of energy required for vaporization

Given that,

Moles of propanol = 2.00

H°vapourization = +47.5 kJ/mole

Positive sign denotes that the energy is absorbed by the system.

There are two moles of propanol present and 47.5 kJ of energy is absorbed for each mole to get vaporize.

So, for 2 moles of propanol the energy required is = 2 x 47.5 kJ = 95 kJ

Therefore, 95 kJ of energy is required to vaporize 2 moles of propanol.

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