Conversion of 0.702 g of liquid water to steam at 100.0°C requires 1.56 kJ of heat. Calculate the molar enthalpy of evaporation of water at 100.0°C.

Respuesta :

Answer:

The molar enthalpy of evaporation of water at 100.0°C is 40 kJ

Explanation:

Calculation of the moles of [tex]H_2O[/tex] as:-

Mass = 0.702 g

Molar mass of [tex]H_2O[/tex] = 18 g/mol

The formula for the calculation of moles is shown below:

[tex]moles = \frac{Mass\ taken}{Molar\ mass}[/tex]

Thus,

[tex]Moles= \frac{0.702\ g}{18\ g/mol}[/tex]

[tex]Moles= 0.039\ mol[/tex]

Given that:- [tex]\Delta H=+1.56\ kJ[/tex]

It means that when 0.039 moles of water undergoes evaporation, 1.56 kJ of energy is used

Also,

When 1 mole of water undergoes evaporation, [tex]\frac{1.56}{0.039}\ kJ[/tex] of energy is used

The molar enthalpy of evaporation of water at 100.0°C is 40 kJ

Molar enthalpy is a calculation of enthalpy change per amount of substance formed during the reaction of substances. It is expressed as kilo joules per moles.

The molar enthalpy can be calculated as:

[tex]\text {molar enthalphy} &= \dfrac{ \Delta H} {n}[/tex]

where n is the number of moles

For this moles of water can be calculated as:

[tex]\text {Moles} &= \dfrac{\text {mass}} {\text{molar mass of water}}[/tex]

  • Where  Mass = 0.702 g

  • The molar mass of water would be= 18 g/mol

[tex]\text {Moles} &= \dfrac{\text {0.702 g}} {\text{18 g/mol}}[/tex]

Moles= 0.039 mol

  • The amount of heat required is given,+1.56

  • 1.56 kJ of energy is used to produce 0.039 moles of water vapor.

  • One mole of water vapour undergoes evaporation at 100.0°C to produce energy:

[tex]\text {molar enthalphy} &= \dfrac{ \Delta H} {n}[/tex]

[tex]\text {molar enthalphy} &= \dfrac{ 1.56} {0.039}[/tex]

Therefore, molar enthalpy of water at 100.0°C is 40 kJ

To learn more about molar enthalphy follow the given link:

https://brainly.com/question/1399740