Solved: The derivation of the ideal-gas equation included

Chapter 18, Problem 19DQ

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QUESTION:

Problem 19DQ

The derivation of the ideal-gas equation included the assumption that the number of molecules is very large, so that we could compute the average force due to many collisions. However, the ideal-gas equation holds accurately only at low pressures, where the molecules are few and far between. Is this inconsistent? Why or why not?

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QUESTION:

Problem 19DQ

The derivation of the ideal-gas equation included the assumption that the number of molecules is very large, so that we could compute the average force due to many collisions. However, the ideal-gas equation holds accurately only at low pressures, where the molecules are few and far between. Is this inconsistent? Why or why not?

ANSWER:

Solution 19DQ

Step 1:

Few important assumptions in derivation of ideal gas equation are:

1.The number of molecule is very large and collision between gas molecules are elastic collision.

2.The average distance between two molecule is much larger than size of molecules or size of

   molecule is very large

3.Any force of attraction or repulsion between the molecules or surrounding is negligible.

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