Chemistry · Grades 10–12
Ideal-gas volume
Use absolute temperature in kelvins. With R = 8.314 kPa·L/(mol·K), pressure in kPa gives volume in litres.
Rule and assumptions
Use absolute temperature in kelvins. With R = 8.314 kPa·L/(mol·K), pressure in kPa gives volume in litres.
V = nRT/P; R = 8.314 kPa·L/(mol·K)
Worked examples
Use PV = nRT and R = 8.314 kPa·L/(mol·K). Find the ideal-gas volume for 0.7 mol at 338 K and 98 kPa. Round to 3 decimal places if needed. Answer in L.
V = nRT/P; R = 8.314 kPa·L/(mol·K) 0.7 × 8.314 × 338/98 = 20.072
20.072 L
Use PV = nRT and R = 8.314 kPa·L/(mol·K). Find the ideal-gas volume for 2.2 mol at 343 K and 117 kPa. Round to 3 decimal places if needed. Answer in L.
V = nRT/P; R = 8.314 kPa·L/(mol·K) 2.2 × 8.314 × 343/117 = 53.622
53.622 L
Try two questions
Use PV = nRT and R = 8.314 kPa·L/(mol·K). Find the ideal-gas volume for 1.6 mol at 305 K and 85 kPa. Round to 3 decimal places if needed. Answer in L.
Use PV = nRT and R = 8.314 kPa·L/(mol·K). Find the ideal-gas volume for 0.3 mol at 369 K and 134 kPa. Round to 3 decimal places if needed. Answer in L.
Answers and reasoning
Answers and marking notes
- 47.732 L
V = nRT/P; R = 8.314 kPa·L/(mol·K) 1.6 × 8.314 × 305/85 = 47.732
- 6.868 L
V = nRT/P; R = 8.314 kPa·L/(mol·K) 0.3 × 8.314 × 369/134 = 6.868
Further reading and review references
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Learning preview · independent educational and translation review required. Suggested grades are not official curriculum alignment.