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A 93-L sample of dry air cools from 145°C to ?22°C while
Chapter 6, Problem 18P(choose chapter or problem)
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?
Questions & Answers
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