Element Density at 1000°C & 10 torr: Solve for Molar Mass

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SUMMARY

The discussion revolves around calculating the molar mass of a gaseous element at 1000°C and 10 torr, where the density is given as 2.55×10^-3 g/L. The ideal gas law is applied to derive the molar mass, leading to a confirmed answer of 21 g/mol. The participant initially struggled with the calculation but ultimately identified the correct molar mass after reevaluating their approach.

PREREQUISITES
  • Understanding of the Ideal Gas Law
  • Knowledge of density calculations in gas laws
  • Familiarity with unit conversions (e.g., torr to atm)
  • Basic algebra for rearranging equations
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  • Learn about density calculations for gases at varying temperatures and pressures
  • Explore the concept of molar mass and its significance in chemistry
  • Review common mistakes in gas law calculations and how to avoid them
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Chemistry students, educators, and anyone involved in gas law calculations or studying the properties of gases at different temperatures and pressures.

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Homework Statement


At 1000 deg C and 10 torr, the densit of a certain element in the gaseous state is 2.55×10^-3 g/L. The element is:


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The Attempt at a Solution


So, i took the the density equation, that of which is derived from the ideal gas law, and rearranged to solve for the molar mass, but, unfortunately, it did not suceed. What am I to do to solve this problem?
 
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What molar mass did you get?
 
I got 21 g/mol--which is the answer. Sorry, i was looking at the wrong answer
 

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