aaronm8788 aaronm8788
  • 21-10-2019
  • Chemistry
contestada

Calculate the density of xenon gas at a pressure of 742 mmhg and a temperature of 45 ∘c.

Respuesta :

sebassandin
sebassandin sebassandin
  • 28-10-2019

Answer:

[tex]density=4.91g/L=4.91x10^{-3}g/mL[/tex]

Explanation:

Hello,

Ideal gas equation is useful in this case because one could solve for density as follows:

[tex]PV=nRT\\\frac{n}{V}=\frac{P}{RT}  \\\frac{m}{MV}=\frac{P}{RT} \\\frac{m}{V}=\frac{PM}{RT} \\\ density=\frac{PM}{RT}[/tex]

Now, replacing for P and T, one obtains:

[tex]density=\frac{742mmHg*\frac{1atm}{760mmHg}*131.293g/mol}{0.082\frac{atm*L}{mol*K} (45+273.15)K}\\\\density=4.91g/L=4.91x10^{-3}g/mL[/tex]

Best regards.

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