Solution Found!
Answer: A cylinder 1.00 m tall with inside diameter 0.120
Chapter 18, Problem 57P(choose chapter or problem)
Problem 57P
A cylinder 1.00 m tall with inside diameter 0.120 m is used to hold propane gas (molar mass 44.1 g/mol) for use in a barbecue. It is initially filled with gas until the gauge pressure is 1.30 × 106 Pa and the temperature is 22.0°C. The temperature of the gas remains constant as it is partially emptied out of the tank, until the gauge pressure is 2.50 × 105 Pa. Calculate the mass of propane that has been used.
Questions & Answers
QUESTION:
Problem 57P
A cylinder 1.00 m tall with inside diameter 0.120 m is used to hold propane gas (molar mass 44.1 g/mol) for use in a barbecue. It is initially filled with gas until the gauge pressure is 1.30 × 106 Pa and the temperature is 22.0°C. The temperature of the gas remains constant as it is partially emptied out of the tank, until the gauge pressure is 2.50 × 105 Pa. Calculate the mass of propane that has been used.
ANSWER:
Solution to 57P
Step 1
Height of cylinder=1m
Diameter of cylinder =0.120m
Radius of cylinder =0.06m
Molar mass of C3H8=44.1mol/kg
Initial pressure P1=1.30x106Pa
Final pressure =P2=2.5x105Pa
Temperature =220C =295.15K
Volume of cylinder=ㄫr2h=ㄫx(0.06)1=11.30x10-3 m3