Chapter 18: Q. 55 (page 513)

$10, 000 {cm}^{3}$ of $200 ° C$ steam at a pressure of $20 atm$ is cooled until it condenses. What is the volume of liquid water? Give your answer in ${cm}^{3}$ .

Short Answer

Expert verified

The volume of the liquid water is $V = 92.73 c m 3$

Step by step solution

Given information

The volume of steam $V_{s} = 10000 {cm}^{3}$

The temperature of the steam $T_{s} = 200 + 273 = 473 K$

Pressure $P = 20 atm$

The number of molecules remains constant. Using the given data, the number of moles can be found and by substituting density, the volume of water can be found.

formula used:

Ideal gas law

$P V = n R T$

calculation

Description

Steps

Step:1 the number moles calculating

$n = \frac{P V_{s}}{R T_{s}} = \frac{(20 atm) (10000 {cm}^{3})}{82.057 {cm}^{3} {atmKmol}^{- 1}} n = 5.152 mol$

Step:2 calculating the volume of water

$m a s s = n u m b e r o f m o l e s \times M o l a r m a s s$

= 5.152 \times 18 = 92.736 g VolumeV = m / ρ = \frac{92.736 g}{{Ig}^{g} {cm}^{3}} V = 92.736 {cm}^{3}

$= 5.152 \times 18 = 92.736 g VolumeV = m / ρ = \frac{92.736 g}{{Ig}^{2} / {cm}^{3}} V = 92.736 {cm}^{3}$

Hence $V = 92.736 {cm}^{3}$ represents the volume of water.

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$10, 000 {cm}^{3}$ of $200 ° C$ steam at a pressure of $20 atm$ is cooled until it condenses. What is the volume of liquid water? Give your answer in ${cm}^{3}$ .

Short Answer

Step by step solution

Given information

calculation

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10,000cm3of 200°Csteam at a pressure of 20atmis cooled until it condenses. What is the volume of liquid water? Give your answer in cm3.

Short Answer

Step by step solution

Given information

calculation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

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Study anywhere. Anytime. Across all devices.

$10, 000 {cm}^{3}$ of $200 ° C$ steam at a pressure of $20 atm$ is cooled until it condenses. What is the volume of liquid water? Give your answer in ${cm}^{3}$ .