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Solved: What is the effect of the following on the volume
Chapter 6, Problem 16P(choose chapter or problem)
What is the effect of the following on the volume of 1 mol of an ideal gas?
(a) The pressure is reduced by a factor of 4 (at constant T).
(b) The pressure changes from 760 torr to 202 kPa, and the temperature changes from 37°C to 155 K.
(c) The temperature changes from 305 K to 32°C, and the pressure changes from 2 atm to 101 kPa.
Questions & Answers
QUESTION: Problem 16P
What is the effect of the following on the volume of 1 mol of an ideal gas?
(a) The pressure is reduced by a factor of 4 (at constant T).
(b) The pressure changes from 760 torr to 202 kPa, and the temperature changes from 37°C to 155 K.
(c) The temperature changes from 305 K to 32°C, and the pressure changes from 2 atm to 101 kPa.
ANSWER:
Solution 16P:
Here, we are going to find out the effect of the following parameter on the volume of 1.0 mol of ideal gas.
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