Question

In: Chemistry

in the clausius-clapeyron equation lnP= ((-Hvap/R)(1/T))+C can someone explain to me what is C?

in the clausius-clapeyron equation lnP= ((-Hvap/R)(1/T))+C can someone explain to me what is C?

Solutions

Expert Solution

The Clausius-Clapeyron Equation

The relationship between the temperature of a liquid and its vapor pressure is not a straight line. The vapor pressure of water, for example, increases significantly more rapidly than the temperature of the system. This behavior can be explained with the Clausius-Clapeyron equation.

According to this equation, the rate at which the natural logarithm of the vapor pressure of a liquid changes with temperature is determined by the molar enthalpy of vaporization of the liquid, the ideal gas constant, and the temperature of the system. If we assume that Hvap does not depend on the temperature of the system, the Clausius-Clapeyron equation can be written in the following integrated form where C is a constant.

This form of the Clausius-Clapeyron equation has been used to measure the enthalpy of vaporization of a liquid from plots of the natural log of its vapor pressure versus temperature. For our purposes, it would be more useful to take advantage of logarithmic mathematics to write this equation as follows.


Related Solutions

1. By using the Clausius-Clapeyron equation, lnP=??HvapRT+C, derive the relationship between the vapor pressures, P1 and...
1. By using the Clausius-Clapeyron equation, lnP=??HvapRT+C, derive the relationship between the vapor pressures, P1 and P2, and the absolute temperatures at which they were measured, T1 and T2. Express your answer in terms of T1, T2, ?Hvap, and the gas constant R. ln(P1/P2)= 2. Gasoline is a mixture of hydrocarbons, a major component of which is octane, CH3CH2CH2CH2CH2CH2CH2CH3. Octane has a vapor pressure of 13.95 torr at 25?C and a vapor pressure of 144.78 torr at 75?C. Use these...
9) Using the Clausius-Clapeyron equation determine the vapor pressure of water at 50.0 C. The molar...
9) Using the Clausius-Clapeyron equation determine the vapor pressure of water at 50.0 C. The molar heat of vaporization of water is 40.7 kJ/mol. (Review Sample Exercise: Example 13-4) ln ( R = 8.314 J ) = ∆Hvap P2 P1 R mol∙K ( 1 − T1 ; T = Kelvin; P = Consistent units 10) Referring to the figure below, describe the phase changes (and the temperatures at which they occur) when CO2 is heated from −80 °C to 0...
a) Combining the barometric distribution with the Clausius-Clapeyron equation, deduce an equation that relates the boiling...
a) Combining the barometric distribution with the Clausius-Clapeyron equation, deduce an equation that relates the boiling point of a liquid to the temperature of the atmosphere, temperature (Ta) and altitude (h). In b) and c) suppose ta = 20 ° C. b) For water, tb = 100 ° C at 1 atm and ΔH vap = 40,670 kJ / mol. What is the boiling point on the top of a mountain with h = 4754 m? c) For diethyl ether,...
Derive Clapeyron equation and Clausius modification for liquid-vapor equilibrium conditions.
Derive Clapeyron equation and Clausius modification for liquid-vapor equilibrium conditions.
1) Derive the Clausius-Clapeyron equation for an ideal gas and ideal liquid: Liquid (Phase A) ↔...
1) Derive the Clausius-Clapeyron equation for an ideal gas and ideal liquid: Liquid (Phase A) ↔ Gas (Phase B) Begin with the equation relating chemical potential of the two phases (?A , ?B ), assuming these phases are at equilibrium (as they are assumed to be along the liquid-gas coexistence curve on a P-T phase diagram) Include all necessary detail in your derivation to demonstrate your understanding. Then, Using the equation you derived in number 1, determine at which pressure...
Estimate the vapor pressure of ethyl ether at 40 degree celcius using the Clausius-Clapeyron equation based...
Estimate the vapor pressure of ethyl ether at 40 degree celcius using the Clausius-Clapeyron equation based on the experimental values as follows. Remember that T in the Clausius-Clapeyron equation is absolute and pressure is in mmHg. p* (mmhg) 19.0 112.51 442.0 Temprature(degree celcius) -40.0 -10.0 20.0
Can someone show me the R code to accomplish this? In R, Construct scatter plots of...
Can someone show me the R code to accomplish this? In R, Construct scatter plots of y versus x, y versus ln(x), ln(y) versus ln(x) and 1/y versus 1/x. Include your R code in a separate file. The article “Reduction in Soluble Protein and Chlorophyll Contents in a Few Plants as Indicators of Automobile Exhaust Pollution” (Intl. J. of Environ. Studies, 1983: 239-244) reported the accompanying data on x distance from a highway (meters) and y lead content of soil...
can someone explain to me what is the full research cycle in the subject of "...
can someone explain to me what is the full research cycle in the subject of " Research Methods for Business " ( Business management question )
Can someone explain to me what the KKLT paper says, and what has and hasn't it...
Can someone explain to me what the KKLT paper says, and what has and hasn't it achieved regarding the ability to construct solutions with a small positive or negative cosmological constant in string theory?
Can someone also tell me how to write the commands in excel for 1/T and ln(tgel)....
Can someone also tell me how to write the commands in excel for 1/T and ln(tgel). I have to plot 1/T versus ln(tgel). Cure temp. Gel time Linearized Forms T (K) tgel (h) 1/T (K-1) ln(tgel) 373.15 9.007 383.15 6.200 393.15 4.016 403.15 2.533 413.15 1.711 423.15 1.549 433.15 0.780 443.15 0.619 453.15 0.635 463.15 0.708 473.15 0.549
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT