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

User Jmini
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1 Answer

3 votes

Answer:

V = 48.7 L

Step-by-step 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

User Ryan Erwin
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