Determine the unknown property of a perfect gas

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SUMMARY

The discussion focuses on determining the unknown property of a perfect gas using the ideal gas law, specifically the equation PV = nRT. A gas in a 3-L container at a pressure of 300 kPa and a temperature of 700 degrees Celsius with a mass of 0.66 g is analyzed. The calculation initially yielded a volume of 3.51, which is incorrect as the volume is already provided as 3 L. The correct specific gas constant R is calculated to be 1.401 kJ/kg·K.

PREREQUISITES
  • Understanding of the ideal gas law (PV = nRT)
  • Knowledge of unit conversions, particularly between pressure, volume, and temperature
  • Familiarity with specific gas constants and their applications
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation and application of the ideal gas law
  • Learn about specific gas constants for different gases
  • Explore unit conversion techniques for thermodynamic calculations
  • Investigate the implications of temperature and pressure on gas behavior
USEFUL FOR

This discussion is beneficial for students studying thermodynamics, particularly those tackling problems related to the ideal gas law, as well as educators looking for examples of gas property calculations.

thermo15378
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Homework Statement


a gas in 3-L container at a pressure of 300kpa and a temperature of 700 degrees celsius, and with a mass of .66 g.


Homework Equations



pv=nrt

The Attempt at a Solution



(300)(v)= (.00066 kg)(8.31)(191906 k)

= 3.51


im not sure what conversion needs to be done as the correct answer is found to be 1.401 kj/kg.K
 
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thermo15378 said:

Homework Statement


a gas in 3-L container at a pressure of 300kpa and a temperature of 700 degrees celsius, and with a mass of .66 g.


Homework Equations



pv=nrt

The Attempt at a Solution



(300)(v)= (.00066 kg)(8.31)(191906 k)

= 3.51


im not sure what conversion needs to be done as the correct answer is found to be 1.401 kj/kg.K


From the information given and the answer you posted, you are to use PV= mRT to get 'R' for the gas.

In your calculation you found 'V' as 3.51 when they already gave you V=3 L.
 

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