Vapour Pressure P1 at Temperature T1 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2)))
PB = PA*exp(-(ΔHv/[R])*((1/Tabs)-(1/T2)))
This formula uses 1 Constants, 1 Functions, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Vapor Pressure of component B - (Measured in Pascal) - Vapor pressure of component B is defined as the pressure exerted by B's vapor in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system.
Vapour Pressure of Component A - (Measured in Pascal) - Vapour Pressure of Component A is defined as the pressure exerted by A's vapour in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system.
Molal Heat of Vaporization - (Measured in Joule Per Mole) - Molal Heat of Vaporization is the energy needed to vaporize one mole of a liquid.
Absolute Temperature - (Measured in Kelvin) - Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale.
Absolute temperature 2 - (Measured in Kelvin) - Absolute temperature 2 is the temperature of an object on a scale where 0 is taken as absolute zero.
STEP 1: Convert Input(s) to Base Unit
Vapour Pressure of Component A: 1000 Pascal --> 1000 Pascal No Conversion Required
Molal Heat of Vaporization: 11 KiloJoule Per Mole --> 11000 Joule Per Mole (Check conversion here)
Absolute Temperature: 273.15 Kelvin --> 273.15 Kelvin No Conversion Required
Absolute temperature 2: 310 Kelvin --> 310 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PB = PA*exp(-(ΔHv/[R])*((1/Tabs)-(1/T2))) --> 1000*exp(-(11000/[R])*((1/273.15)-(1/310)))
Evaluating ... ...
PB = 562.283634247979
STEP 3: Convert Result to Output's Unit
562.283634247979 Pascal --> No Conversion Required
FINAL ANSWER
562.283634247979 562.2836 Pascal <-- Vapor Pressure of component B
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
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Verified by Pragati Jaju
College Of Engineering (COEP), Pune
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3 Vapour Pressure Calculators

Vapour Pressure P1 at Temperature T1
Go Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2)))
Vapour Pressure P2 at Temperature T2
Go Vapour Pressure of Component A = Vapor Pressure of component B/exp((Molal Heat of Vaporization/[R])*((1/Absolute temperature 2)-(1/Absolute Temperature)))
Vapor Pressure of Pure Liquid A in Raoult's Law
Go Vapor Pressure of Pure Component A = Partial Pressure/Mole Fraction of Component A in Liquid Phase

Vapour Pressure P1 at Temperature T1 Formula

Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2)))
PB = PA*exp(-(ΔHv/[R])*((1/Tabs)-(1/T2)))

What is Clausius- Clapeyron Equation ?

The vaporization curves of most liquids have similar shapes. The vapor pressure steadily increase as the temperature increases.
If P1 and P2 are the vapor pressures at two temperatures T1 and T2, then a simple relationship known as the Clausius- Clapeyron Equation can be formed which allows us to estimate the vapor pressure at another temperature, if the vapor pressure is known at some temperature, and if the enthalpy of vaporization is known.

How to Calculate Vapour Pressure P1 at Temperature T1?

Vapour Pressure P1 at Temperature T1 calculator uses Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2))) to calculate the Vapor Pressure of component B, The Vapour Pressure P1 at Temperature T1 is that pressure exerted by a liquid or solid molecules of only B in a closed system at which they are in equilibrium with the vapor phase. Vapor Pressure of component B is denoted by PB symbol.

How to calculate Vapour Pressure P1 at Temperature T1 using this online calculator? To use this online calculator for Vapour Pressure P1 at Temperature T1, enter Vapour Pressure of Component A (PA), Molal Heat of Vaporization (ΔHv), Absolute Temperature (Tabs) & Absolute temperature 2 (T2) and hit the calculate button. Here is how the Vapour Pressure P1 at Temperature T1 calculation can be explained with given input values -> 562.2836 = 1000*exp(-(11000/[R])*((1/273.15)-(1/310))).

FAQ

What is Vapour Pressure P1 at Temperature T1?
The Vapour Pressure P1 at Temperature T1 is that pressure exerted by a liquid or solid molecules of only B in a closed system at which they are in equilibrium with the vapor phase and is represented as PB = PA*exp(-(ΔHv/[R])*((1/Tabs)-(1/T2))) or Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2))). Vapour Pressure of Component A is defined as the pressure exerted by A's vapour in thermodynamic equilibrium with its condensed phases at a given temperature in a closed system, Molal Heat of Vaporization is the energy needed to vaporize one mole of a liquid, Absolute Temperature is defined as the measurement of temperature beginning at absolute zero on the Kelvin scale & Absolute temperature 2 is the temperature of an object on a scale where 0 is taken as absolute zero.
How to calculate Vapour Pressure P1 at Temperature T1?
The Vapour Pressure P1 at Temperature T1 is that pressure exerted by a liquid or solid molecules of only B in a closed system at which they are in equilibrium with the vapor phase is calculated using Vapor Pressure of component B = Vapour Pressure of Component A*exp(-(Molal Heat of Vaporization/[R])*((1/Absolute Temperature)-(1/Absolute temperature 2))). To calculate Vapour Pressure P1 at Temperature T1, you need Vapour Pressure of Component A (PA), Molal Heat of Vaporization (ΔHv), Absolute Temperature (Tabs) & Absolute temperature 2 (T2). With our tool, you need to enter the respective value for Vapour Pressure of Component A, Molal Heat of Vaporization, Absolute Temperature & Absolute temperature 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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