Gas Laws Homework: Calculate Mass of Propane Used

In summary, a 1.00 m tall cylinder with an inside diameter of 0.120 m is initially filled with propane gas at a gauge pressure of 1.30 x 107 Pa and a temperature of 22.0⁰C. As the gas is partially emptied, the temperature remains constant and the gauge pressure decreases to 2.50 x 105 Pa. Using the equation Pv=nRT, the mass of propane used was found to be 2592 grams.
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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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  • #2
Looks good to me.
 

1. What are gas laws and why are they important?

Gas laws are a set of mathematical relationships that describe the behavior of gases under different conditions of pressure, volume, and temperature. They are important because they help us understand and predict how gases will behave in various situations, such as in chemical reactions or in everyday life.

2. How do I calculate the mass of propane used in a given situation?

To calculate the mass of propane used, you will need to know the initial and final volume of the propane, as well as the temperature and pressure. You can then use the ideal gas law (PV = nRT) to calculate the number of moles of propane used. Finally, you can convert the moles to mass using the molar mass of propane (44.1 g/mol).

3. What are the units of measurement used in gas law calculations?

The units used in gas law calculations depend on the specific gas law being used. In the ideal gas law, pressure is typically measured in atmospheres (atm), volume in liters (L), temperature in Kelvin (K), and moles in moles (mol). It is important to use consistent units throughout the calculation to ensure accurate results.

4. How do I know which gas law to use for a specific problem?

Different gas laws are used for different situations. For example, the ideal gas law is used for most situations involving gases at standard temperature and pressure. Boyle's law is used for situations where the temperature is constant, while Charles's law is used when the pressure is constant. You will need to carefully read the problem and determine which gas law is most applicable.

5. Can gas laws be applied to all types of gases?

No, gas laws only apply to ideal gases, which are hypothetical gases that follow the ideal gas law perfectly. Real gases, on the other hand, may deviate from the ideal gas law at high pressures or low temperatures. However, for most everyday situations, the ideal gas law is a good approximation.

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