Use the van der Waals equation to calculate the temperature of 1.302 moles of chlorine gas contained in a 4.725-liter flask at 8.7165 atmospheres. Given: a = 6.49 L2 · atm/mol2, b = 0.0562 L/mol, and R = 0.08205 L · atm/K · mol A. 2.847 K B. 3.569 K C. 401.1 K D. 385.52 K

Respuesta :

Answer:

B. 356.9 K

Explanation:

Hello,

In this case, considering the Van der Waals equation shown below:

[tex]P=\frac{RT}{v-b}-\frac{a}{v^2}[/tex]

Solving for T one obtains:

[tex]T=\frac{(v-b)}{R}(P-\frac{a}{v^2} )[/tex]

The molar volume is:

[tex]v=\frac{4.725L}{1.302mol}=3.63L/mol[/tex]

So the temperature turns out:

[tex]T=\frac{3.63mol/L-0.0562mol/L}{0.082 \frac{atm*L}{mol*K}}*(8.7165atm-\frac{6.49L^2*atm/mol^2}{(3.63mol/L)^2} )\\T=358.42K[/tex]

Therefore the answer should be B which is closer to the obtained result.

Best regards.

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