Gas Laws Homework: Calculate Mass of Propane Used

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SUMMARY

The discussion revolves around calculating the mass of propane used from a gas cylinder based on the ideal gas law, represented by the equation Pv=nRT. The cylinder dimensions are 1.00 m tall with a diameter of 0.120 m, and the initial gauge pressure is 1.30 x 107 Pa at a temperature of 22.0°C. After partially emptying the tank, the gauge pressure drops to 2.50 x 105 Pa. The calculated mass of propane used is confirmed to be 2592 grams.

PREREQUISITES
  • Understanding of the ideal gas law (Pv=nRT)
  • Basic knowledge of pressure units (Pa)
  • Familiarity with molar mass calculations
  • Ability to perform unit conversions and volume calculations
NEXT STEPS
  • Review the derivation of the ideal gas law (Pv=nRT)
  • Learn about gas laws and their applications in real-world scenarios
  • Explore methods for calculating mass from pressure and volume
  • Investigate the properties of propane and its behavior under varying pressures
USEFUL FOR

Students studying chemistry, particularly those focusing on gas laws, as well as educators and anyone involved in practical applications of gas calculations in fields such as engineering and environmental science.

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Homework Statement


8. A cylinder 1.00 m tall with an inside diameter of 0.120 m is used to hold propane gas (molar mass: 44.1 g.mol-1) for use in a barbeque. It is initially filled with a gas until the gauge pressure is 1.30 x 107 Pa and the temperature is 22.0⁰C. The temperature of the gas remains constant as it is partially emptied out of the tank, until the gauge pressure is 2.50 x 105 Pa. Calculate the mass of propane that has been used.


Homework Equations


Pv=nRT


The Attempt at a Solution


Found the mass of the used propane to be 2592grams... Can someone please take a look and see if this is right... thanks
 
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Looks good to me.
 

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