If 3.82 mol of an ideal gas has a pressure of 2.99 atm and a volume of 78.23 L, what is the temperature of the sample in degrees Celsius?

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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
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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If 3.82 mol of an ideal gas has a pressure of 2.99 atm and a volume of 78.23 L, what is the temperature of the sample in degrees Celsius?

Expert Solution
Step 1

An ideal gas is a hypothetical gas where the gas molecules moves randomly without any intermolecular interaction. The conditions to become a gas is ideal is standard pressure and temperature.

The fomula of an ideal gas is

PV=nRT

  • P is pressure
  • V is volume
  • n is amount in mole
  • R is universal gas constant
  • T is temperature

 

Step 2

Putting all the values in the above equation

                            PV=nRT2.99 atm×78.23 L=3.82 mol×0.082 L-atm×mol-1K-1×T                              T=2.99 atm×78.23 L3.82 mol×0.082 L-atm×mol-1K-1                                 =746.73 K                                 =473.73 0C

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