Answer: A cylinder 1.00 m tall with inside diameter 0.120

Chapter 18, Problem 57P

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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.

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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

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