Chemistry, 24.09.2019 21:30 joc223

One kilogram of a vapor-liquid water mixture has a quality of 50% at 25 °c approximately what volume does the water (vapor liquid) occupy? a. 44 cubic meters b. 42 cubic meters c. 22 cubic meters d. 1 cubic decimeter

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Answer from: asalaslex133369

Option (C) is the correct answer.

Explanation:

It is given that total mass is 1 kg and quality is 50%. Hence, the weight of liquid and vapor is 0.5 kg each.

Since, temperature is given as $25^{o}C$ = (25 + 273.15) K = 298.15 K

Molecular mass of water = 18 g/mol

Therefore, calculate the number of moles of water as follows.

No. of moles of water vapor = $\frac{mass}{\text{molar mass}}$

= $\frac{500 g}{18 g/mol}$ (as 1 kg = 1000 g, so 0.5 kg = $0.5 \times 1000 g$ = 500 g)

= 27.78 mol

This will also be equal to the number of moles of liquid water present.

According to the steam tables, water exists in its saturated state at $25^{o}C$ at a pressure $P_{sat} = 3.17 kPa$ or 3170 Pa.

Hence, on assuming ideal gas behavior of the vapor the equation will be as follows.

$V_{vapor} = \frac{nRT}{P_{sat}}$

= $\frac{27.78 mol \times 8.314 J/K mol \times 298.15 K}{3170 Pa}$

= 21.72 $m^{3}$

Whereas we will calculate the volume of liquid water as follows.

Volume = $\frac{mass}{Density}$

= $\frac{0.5 kg}{1 kg/l}$

= 0.5 L

As 1 L = 0.001 $m^{3}$ . So, 0.5 L = 0.0005 $m^{3}$ .

Therefore, total volume = Volume of vapor + volume of liquid water

= 21.72 $m^{3}$ + 0.0005 $m^{3}$

= 21.7205 $m^{3}$

= 22 $m^{3}$ (approx)

Thus, we can conclude that volume occupied by the water (vapor liquid) is 22 $m^{3}$ .

Answer from: Quest

How do we find the answer?

Answer from: Quest

in chemistry, adhesion and cohesion are attractive forces that exist between molecules. they hold the molecules together from each other. they are different in that adhesive force exists between molecules of different substance while cohesive force happens between molecules of same substance.

adhesion between water and glass causes water molecules at the edge of water and glass interface to climb up the wall in a narrow glass tube. this is called capillary action. cohesion is what gives glass its shape and causes water to form a droplet.

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