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Diethyl ether has a 螖贬ovap of 29.1 kJ/mole and a vapour pressure of 0.703 atm at 25.0C. What is its vapour pressure at95C ?

Short Answer

Expert verified

The vapour pressure of the liquid is 6.4atm at temperature, 95C as the enthalpy of vaporization at standard conditions, 螖贬ovap is 29.1kJ/mole.

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 a 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=25oC=298k

Vapour pressure at temperature,P1=0.703atm

Temperature,T2=95oC=368k

Let vapour pressure at temperature,P2=xatm

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

Enthalpy of vaporization, 螖贬ovap=29.1kJ/mole

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

role="math" localid="1658848549221" Log(P1P2)=-螖贬ovap2.303R(1T1-1T2)Log(0.703X)=-29.1KJ/mole2.3038.314J/mole/k(1298-1366)Log(0.703X)=-29100J/mole2.3038.314J/mole/k(368-298298368)Log(0.703X)=-3500.12(702.303109664)

role="math" localid="1658848620605" Log(0.703X)=-0.97(0.703X)=Antilog(-0.97)(0.703X)=0.11x=0.7030.11x=6.4atm

The Vapour pressure at temperature 95C is 6.4atm.

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