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Pressure and Temperature

Calculate the...

Question

Calculate the pressure exerted by one mole of CO₂ gas at 273 K, if the Van der Waals constant a = 3.592 dm⁶ atm mol−2. Assume that the volume occupied by CO₂ molecules is negligible.

0.8422 atm

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0.9922 atm

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1.2 atm

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1.1652 atm

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Solution

The correct option is B
0.9922 atm
The Van der Waals equation for 1 mol of gas is given by:
(p+aV²)/(V−b)=RT
The volume occupied by CO₂ molecules is negligible implies that b = 0. Substituting given values and considering V = 22.4 L for 1 mol of gas at 1 atm, we get
p=RTV−aV²=0.082×273/22.4−3.592/22.4²
= 0.9922 atm

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