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

V = 48.7 L

Explanation:

We can calculate the volume V, by using the ideal gas law:

P V = n R T

Where we have:  

P is the pressure, V is the volume, and T is the temperature T, R is the gas constant, and n is the number of moles of the gas.  

According to the international unit systems R is 8.314 J / K. mol.  

With this value the P unit will be Pa and the V unit will be m³.  

Then,  

V = (n R T)/ P  

V = [(36/18) × 8.314 × 293] / (100 * 1000)  

V = 0.0487 m³  

And the volume by litter unit is:  

V = 48.7 L

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