Answered: A sample of nitrous oxide (N2O) gas at…

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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Question

A sample of nitrous oxide (N2O) gas at 298.15 K is heated to 373.15 K and also allowed to expand from 1.50 L to 2.75 L. What is the final pressure of this gas in atm if the original pressure was 725 mmHg?

Expert Solution

Step 1

For the phase change of the ideal gas the temperature, pressure, and volume of the initial state and the final state are given by the following equation:

Where

P₁ = initial pressure of gas = 725 mmHg

V₁ = initial volume of gas = 1.50 L

T₁ = initial temperature of gas = 298.15 K

P₂ = final pressure of gas =?

V₂ = final volume of gas = 2.75 L

T₂ = final temperature of gas = 373.15 K

Step 2

By rearranging the above equation, we get:

Let’s put the above values into this equation to get the final volume of the gas:

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