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stp (standard temperature and pressure) is used as a reference point fo…

Question

stp (standard temperature and pressure) is used as a reference point for the molar volume of an ideal gas. in the usa, most chemists, most general chemistry texts, and owl use stp = 0°c, 1 atm, where the molar volume = 22.4 l/mol. if the reference pressure is chosen to be 1 bar, the molar volume is 22.7 l/mol. do not confuse the two.
a 1.82 mol sample of xenon gas occupies a volume of l at stp.
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Explanation:

Step1: Use the formula for volume of gas

The formula for the volume \( V \) of a gas is \( V=n\times V_m \), where \( n \) is the number of moles and \( V_m \) is the molar volume.
Given \( n = 1.82\space mol \) and \( V_m=22.7\space L/mol \) (at the given reference pressure of 1 bar).

Step2: Substitute the values into the formula

Substitute \( n = 1.82\) and \( V_m = 22.7\) into \( V=n\times V_m \).
So, \( V=1.82\times22.7\).
Calculate \( 1.82\times22.7=(1 + 0.8+0.02)\times22.7=22.7+0.8\times22.7 + 0.02\times22.7\).
\(0.8\times22.7 = 18.16\), \(0.02\times22.7=0.454\).
\(V=22.7+18.16 + 0.454=41.314\approx41.3\space L\).

Answer:

\(41.3\space L\)