Vapor Pressure of Benzene at 50°C: 0.028 mmHg

AI Thread Summary
The vapor pressure of benzene at 50°C was calculated using the ideal gas law and density, yielding an initial incorrect result of 0.028 mmHg. The user realized a calculation error stemmed from miscalculating the molar mass of benzene, which is actually 78.108 g/mol. After correcting this mistake, the correct vapor pressure was determined to be 298 mmHg. The discussion highlighted the importance of accurate molar mass and unit conversions in solving vapor pressure problems. Ultimately, the user successfully resolved their confusion and found the correct answer.
ally1h
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Homework Statement


Benzene, C6H6, has a boiling point of 80 degrees Celsius. The density of benzene vapor in equilibrium with liquid benzene at 50 degrees Celsius is 1.153 g/L. What is the vapor pressure of benzene in mmHg at 50 degrees Celsius?


Homework Equations


PV=nRt
density = m/v



The Attempt at a Solution


I thought PV=nRt might cover it.. substituting d=mv into the equation and getting:
P = dRt/m
Plugging in I get:
[(1.153 g/L)(62.364 L Torr/mol K)(323 K)] / (1084.1 g/mol)
P = 21.43 Torr = 0.028 mmHg


What am I doing wrong? My professor covered what vaporization is, not how to go about getting vaporization pressure. I have a test Wednesday and I don't know how to do any of it!
 
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ally1h said:

Homework Statement


Benzene, C6H6, has a boiling point of 80 degrees Celsius. The density of benzene vapor in equilibrium with liquid benzene at 50 degrees Celsius is 1.153 g/L. What is the vapor pressure of benzene in mmHg at 50 degrees Celsius?


Homework Equations


PV=nRt
density = m/v



The Attempt at a Solution


I thought PV=nRt might cover it.. substituting d=mv into the equation and getting:
P = dRt/m
Plugging in I get:
[(1.153 g/L)(62.364 L Torr/mol K)(323 K)] / (1084.1 g/mol)
P = 21.43 Torr = 0.028 mmHg


What am I doing wrong? My professor covered what vaporization is, not how to go about getting vaporization pressure. I have a test Wednesday and I don't know how to do any of it!

d = m / v
 
Sorry, that was a typo. I did divide when doing the actual problem. But I'm still not getting the answer. I forgot to add the choices on our homework handout.

a) 298
b) 50
c) 352
d) 462
e) 0.392


I still don't understand what I am doing incorrectly. Please help?
 
ally1h said:
Sorry, that was a typo. I did divide when doing the actual problem. But I'm still not getting the answer. I forgot to add the choices on our homework handout.

a) 298
b) 50
c) 352
d) 462
e) 0.392


I still don't understand what I am doing incorrectly. Please help?





What are the units in the answers?
 
What is molar mass of benzene?
 
The homework problem didn't give units for the answer so I have no clue. So I have no clue as to what to aim for. The molar mass of Benzene is 78.108 g/mol.
 
Oh! Wow, duh, I feel stupid. I calculated the molar mass incorrectly. Haha, I've got the correct answer now! It's choice A, 298!

haha, thanks for pointing out my mistake!
 
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