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What is the 螖贬ovap of a liquid that has a vapour pressure of 621 torr at 85.2C and a boiling point of 95.6C at 1 atm?

Short Answer

Expert verified

The enthalpy of vaporization at standard condition, 螖贬ovap is 12.15kJ/mole when the vapour pressure is 1atm at temperature 95.6C.

Step by step solution

01

Enthalpy of Vaporization

As Enthalpy means 鈥渉eat鈥 so enthalpy of the heat of vaporization can be defined as the heat which is a form of energy required to change the liquid phase into the vapour phase.

LogP1P2=-螖贬ovap2.303R(1T1-1T2)

Where,

P1= Vapour pressure at temperatureT1

P2= Vapour pressure at temperatureT2

R = Gas constant at the universal level.

The relationship between pressure and temperature is directly proportional, if the temperature increases the pressure also increases and vice-versa.

02

Numerical Explanation

Temperature,T1=85.2oC=358.2k

Vapour pressure at temperature,P1=621torr

Temperature,T2=95.6oC=368.6k

Let vapour pressure at temperature,P2=1atm=760torr

Universal gas constant, R=8.314J/mol/k.

Enthalpy of vaporization, 螖贬ovap=?

Put the values in the above equation of enthalpy of vaporization:

role="math" localid="1658849238516" LogP1P2=-螖贬ovap2.303R(1T1-1T2)Log(621700)=-螖贬ovap2.3038.314J/mole/k(1358.2-1368.6)Log(621)-Log(700)=-螖贬ovap2.3038.314J/mole/k(368.6-358.2358.2368.6)2.79-2.84=-螖贬ovap2.3038.314J/mole/k(10.4132032.5)

-0.05=-螖贬ovap2.3038.314J/mole/k(10.4132032.5)螖贬ovap=0.052.3038.314132032.510.4螖贬ovap=12154.06Joule/mole螖贬ovap=12.15KJ/mole

The enthalpy of the vaporization of the liquid螖贬ovap at temperature 95oC is 12.15kJ/mole.

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