Solve PV=nRT for V on Venus at STP

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SUMMARY

The discussion focuses on calculating the volume of 1 mole of an ideal gas on Venus using the ideal gas law, PV=nRT. The standard temperature and pressure (STP) conditions are defined as 0.00°C and 1.00 atm on Earth, while on Venus, STP is defined with a pressure of 92 Earth-atmospheres. The correct calculation for the volume at Venusian STP, using the equation with the appropriate pressure, results in V=2062.086 liters, confirming that the initial pressure value used was incorrect.

PREREQUISITES
  • Understanding of the ideal gas law (PV=nRT)
  • Knowledge of standard temperature and pressure (STP) definitions
  • Familiarity with unit conversions between Earth and Venusian atmospheres
  • Basic algebra for solving equations
NEXT STEPS
  • Research the implications of varying atmospheric pressures on gas behavior
  • Explore the concept of ideal gases versus real gases under extreme conditions
  • Learn about the environmental conditions on Venus and their effects on chemical reactions
  • Investigate the applications of the ideal gas law in planetary science
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Students studying chemistry, planetary scientists, and educators teaching gas laws and atmospheric science.

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Homework Statement



The conditions of standard temperature and pressure STP are a temperature of 0.00 C and a pressure of 1.00 atm.

For a scientist on Venus, an absolute pressure of 1 Venusian-atmosphere is 92 Earth-atmospheres. Of course she would use the Venusian-atmosphere to define STP. Assuming she kept the same temperature, how many liters would 1 mole of ideal gas occupy on Venus?



The Attempt at a Solution



PV=nRT
(1/92 atm)V=1 mol(.08205746 (L atm)/(K mol))(273.15 C)
V=2062.086

but that isn't right
 
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The pressure at the surface of Venus is 92 atmospheres, not 1/92nd of an atmosphere.
 

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