High School

Calculate [tex]\Delta E[/tex] (in kJ) when 2.00 moles of a liquid is vaporized at its boiling point (85.0 °C) and 1.00 atm pressure. [tex]\Delta H_{vap}[/tex] for the liquid is 39.1 kJ/mol at 85.0 °C.

Answer :

Final answer:

The change in energy (∆E) when 2.00 moles of a liquid is vaporized at its boiling point (85.0 °C) and 1.00 atm pressure is 78.2 kJ.

Explanation:

In chemistry, ∆E usually refers to change in energy. ∆Hvap represents the heat (enthalpy) of vaporization. It's the energy required to convert one mole of a substance from a liquid state into a gas state at a constant temperature and pressure. Here, the ∆Hvap is given as 39.1 kJ/mol at 85.0 °C and at 1.00 atm pressure.

To calculate the change in energy (∆E), you should use the formula:

∆E = n * ∆Hvap.

Where n is the number of moles. In this case, you have 2.00 moles

∆Hvap = 39.1 kJ/mol.

Thus, ∆E = 2.00 mol * 39.1 kJ/mol = 78.2 kJ.

So, the energy required to vaporize 2.00 moles of the substance at its boiling point and under 1.00 atm pressure is 78.2 kJ.

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