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36 grams of water vapor takes up how many liters at room temperature and pressure (293 K and 100 kPa?)

Respuesta :

100kpa is correct If that is not wht you were asking i'd gladly fix it :)

Answer: The volume of water vapor is 48.7 L

Explanation:

To calculate the number of moles, we use the equation given by ideal gas equation:

[tex]PV=nRT[/tex]

Or,

[tex]PV=\frac{m}{M}RT[/tex]

where,

P = pressure = 100 kPa  

V = Volume = ?

m = mass of water vapor = 36 grams

M = molar mass of water = 18 g/mol

R = Gas constant = [tex]8.31\text{L kPa }mol^{-1}K^{-1}[/tex]

T = temperature = 293 K

Putting values in above equation, we get:

[tex]100kPa\times V=\frac{36g}{18g/mol}\times 8.31\text{L kPa }mol^{-1}K^{-1}\times 293K\\\\V=48.7L[/tex]

Hence, the volume of water vapor is 48.7 L