Solution Found!
A sample of sulfur hexafluoride gas occupies 9.10 L at
Chapter 6, Problem 17P(choose chapter or problem)
A sample of sulfur hexafluoride gas occupies 9.10 L at 198°C. Assuming that the pressure remains constant, what temperature (in °C) is needed to reduce the volume to 2.50 L?
Questions & Answers
QUESTION: Problem 17P
A sample of sulfur hexafluoride gas occupies 9.10 L at 198°C. Assuming that the pressure remains constant, what temperature (in °C) is needed to reduce the volume to 2.50 L?
ANSWER:
Solution 17P
Here, we are going to calculate the final temperature (T2) by using the given parameters.
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