Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
ISBN: 9781305079243



Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
ISBN: 9781305079243
Textbook Problem

An unknown diatomic gas has a density of 3.164 g/L at STP. What is the identity of the gas?

Interpretation Introduction


The diatomic gas having a density of 3.164 g/L at STP should be identified.

Concept introduction:

STP: standard temperature and pressure, it is the condition of 273.2K and 1 atm.

The molar volume of gases at STP condition is similar and it is close to the molar volume of an ideal gas at STP condition. That is, 22.42 L. Hence, at STP the molar volume of a gas is considered as 22.42L.

Equation for density is,


According to ideal gas equation for molecular mass,




The given data’s of the gas are,

  • - Density = 3.164g/L
  • - Temperature = 273.2 K
  • - Pressure = 1 atm
  • - Universal gas constant ‘R’ = 0.08206 L atm

According to ideal gas equation for molecular mass,


Therefore, the molecular mass of given diatomic gas is,

Molecularmassof given diatomic gas=3.164g/L*0.08206Latm/Kmol*273

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