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What is the effect of the following on the volume of 1 mol
Chapter 6, Problem 15P(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 tripled (at constant T).
(b) The absolute temperature is increased by a factor of 3.0 (at constant P).
(c) Three more moles of the gas are added (at constant P and T).
Questions & Answers
QUESTION: Problem 15P
What is the effect of the following on the volume of 1 mol of an ideal gas?
(a) The pressure is tripled (at constant T).
(b) The absolute temperature is increased by a factor of 3.0 (at constant P).
(c) Three more moles of the gas are added (at constant P and T).
ANSWER:Solution 15P:
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