A 20-m^3 tank contains nitrogen at 23^∘ C and 600 kPa. Some nitrogen is allowed to escape until

Name: Problem 124, Chapter 3: Thermodynamics: An Engineering Approach w/ Student Resources DVD
Uploaded: 2020-07-10T12:07:03-08:00
Duration: 1 min 11 s
Channel: Mayukh Banik
Description: A 20-m^3 tank contains nitrogen at 23^∘ C and 600 kPa. Some nitrogen is allowed to escape until the pressure in the tank drops to 400 kPa. If the temperature at this point is 20^∘ C, determine the amount of nitrogen that has escaped.

step 1 we have mass equals pv over r t so in the first case the mass becomes 600 times 13 divided by r

Question

A $20-\mathrm{m}^3$ tank contains nitrogen at $23^{\circ} \mathrm{C}$ and $600 \mathrm{kPa}$. Some nitrogen is allowed to escape until the pressure in the tank drops to $400 \mathrm{kPa}$. If the temperature at this point is $20^{\circ} \mathrm{C}$, determine the amount of nitrogen that has escaped.

   A $20-\mathrm{m}^3$ tank contains nitrogen at $23^{\circ} \mathrm{C}$ and $600 \mathrm{kPa}$. Some nitrogen is allowed to escape until the pressure in the tank drops to $400 \mathrm{kPa}$. If the temperature at this point is $20^{\circ} \mathrm{C}$, determine the amount of nitrogen that has escaped.

Thermodynamics: An Engineering Approach w/ Student Resources DVD

Yunus A. Cengel,… 5th Edition

Chapter 3, Problem 124

Instant Answer

Solved by Expert Mayukh Banik

07/10/2020

Step 1

The ideal gas law is given by the equation PV = nRT, where P is the pressure, V is the volume, n is the number of moles, R is the gas constant, and T is the temperature in Kelvin. Show more…

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A $20-\mathrm{m}^3$ tank contains nitrogen at $23^{\circ} \mathrm{C}$ and $600 \mathrm{kPa}$. Some nitrogen is allowed to escape until the pressure in the tank drops to $400 \mathrm{kPa}$. If the temperature at this point is $20^{\circ} \mathrm{C}$, determine the amount of nitrogen that has escaped.

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Key Concepts

Ideal Gas Law

The ideal gas law (PV = nRT) relates the pressure, volume, temperature, and number of moles of a gas. It is used to determine how changes in one or more of these variables affect the others, making it a fundamental tool for analyzing gas behavior in various conditions.

Temperature Conversion

For problems involving gases, temperatures must be converted to the Kelvin scale because the absolute temperature scale is required by the gas laws. Converting from Celsius to Kelvin ensures that calculations involving the ideal gas law are accurate.

Comparison of Initial and Final States

In thermodynamic processes involving gases, comparing the initial and final states allows one to determine changes in properties such as the number of moles. By applying the ideal gas law separately to the initial and final conditions, one can compute the difference in the number of moles, which corresponds to the amount of gas that has escaped.

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