Question

Using the van der Waals equation, calculate the pressure (in atmospheres) exerted by 258.9 g of CCl4 at 101.4 °C in a 1.00 L container. The van der Waals constants for CCl4 are a = 20.40 L2*atm/mol2 and b = 0.1383 L/mol.

Answer 1

Answer on Question #47965, Chemistry, Other

Task:

Using the van der Waals equation, calculate the pressure (in atmospheres) exerted by 258.9 g of CCl₄ at 101.4°C in a 1.00 L container. The van der Waals constants for CCl₄ are a = 20.40 L²*atm/mol² and b = 0.1383 L/mol.

Answer:

$$(p + \frac {a v ^ {2}}{V ^ {2}}) (V - b v) = v R T$$ $$v = \frac {m}{M}$$ $$M \left(C Cl _ {4}\right) = 1 5 4 g / m o l$$ $$v \left(C C l _ {4}\right) = \frac {2 5 8 , 9}{1 5 4} = 1, 6 8 m o l$$ $$\mathrm {T} = 1 0 1, 4 + 2 7 3 = 3 7 4, 4 \mathrm {K}$$ $$R = 0, 0 8 2 \mathrm {L} \cdot \mathrm {a t m} / \mathrm {K} \cdot \mathrm {m o l}$$ $$(p + \frac {2 0 , 4 0 \cdot 1 , 6 8 ^ {2}}{1 ^ {2}}) (1 - 0, 1 3 8 3 \cdot 1, 6 8) = 1, 6 8 \cdot 0, 0 8 2 \cdot 3 7 4, 4$$ $$p + \frac {2 0 , 4 0 \cdot 1 , 6 8 ^ {2}}{1 ^ {2}} = 6 7, 2$$ $$p = 6 7, 2 - 5 7, 5 8 = 9, 6 4 \mathrm {a t m}$$

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