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Glacier National Park in Montana is approximately 4,100 ft above sea level with an atmospheric pressure of 681 torr. At what temperature does water (ΔHvap= 40.7 kJ/mol) boil at Glacier National Park?

Answer :

Answer : The temperature of liquid is, 369.9 K

Explanation :

The Clausius- Clapeyron equation is :

[tex]\ln (\frac{P_2}{P_1})=\frac{\Delta H_{vap}}{R}\times (\frac{1}{T_1}-\frac{1}{T_2})[/tex]

where,

[tex]P_1[/tex] = vapor pressure of liquid at 373 K = 681 torr

[tex]P_2[/tex] = vapor pressure of liquid at normal boiling point = 760 torr

[tex]T_1[/tex] = temperature of liquid = ?

[tex]T_2[/tex] = normal boiling point of liquid = 373 K

[tex]\Delta H_{vap}[/tex] = heat of vaporization = 40.7 kJ/mole = 40700 J/mole

R = universal constant = 8.314 J/K.mole

Now put all the given values in the above formula, we get:

[tex]\ln (\frac{760torr}{681torr})=\frac{40700J/mole}{8.314J/K.mole}\times (\frac{1}{T_1}-\frac{1}{373K})[/tex]

[tex]T_1=369.907K\approx 369.9K[/tex]

Hence, the temperature of liquid is, 369.9 K

Answer:

it is A

Explanation:

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