A 93-L sample of dry air cools from 145°C to ?22°C while

Chapter 6, Problem 18P

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QUESTION: Problem 18P

A 93-L sample of dry air cools from 145°C to −22°C while the pressure is maintained at 2.85 atm. What is the final volume?

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QUESTION: Problem 18P

A 93-L sample of dry air cools from 145°C to −22°C while the pressure is maintained at 2.85 atm. What is the final volume?

ANSWER:

Solution 18P:

Here, we are going to calculate the final volume (V2) of the sample.

Step 1:

The ideal gas equation can be derived as follows:

According to Boyle’s Law:

, at constant temperature (T) and moles (n)

According to Charles's Law:

, at constant Pressure P.

According to Avogadro’s Law:

Thus, Combining these three expressions, we find that V is proportional to

where R is the ideal gas constant R=8.314 JK-1mol-1

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