Respuesta :
The pressure of the water vapor gas is 364.300 atm
To solve this question, we need to understand the concept of Ideal gas law.
What is Ideal Gas Law?
The ideal gas law has a relationship between the pressure, temperature, and volume of gases, and it is also a good approximation for the characteristics of gases at different conditions.
It is given by the formula:
- PV = nRT
where;
- n = number of moles of the gas
From the parameter given:
- The mass of water vapor = 200 grams
We know that the molar mass of water vapor at standard conditions is 18.02 g/mol
Thus, we can calculate the number of moles of water vapor by using the expression:
number of moles (n) = mass/molar mass
[tex] \mathbf{ n= \dfrac{200 g}{18.02 \ g/mol} }[/tex]
n = 11.099 moles
From the ideal gas equation:
PV = nRT
[tex]\mathbf{P = \dfrac{nRT}{V}}[/tex]
[tex]\mathbf{P = \dfrac{11.099 \ moles \times0.082057 L.atm/K/mol \times 400 \ K }{1.00 \ L}}[/tex]
P = 364.300 atm
Learn more about the Ideal gas equation here:
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