Calculate the pressure that CCl₄ will exert at 80 °C if 1.00 mol occupies 33.3 L, assuming that (c) Which would you expect to deviate more from ideal behavior under these conditions, Cl₂ or CCl₄? Explain.

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Step 1: Begin by identifying the ideal gas law equation, which is \( PV = nRT \). This equation relates the pressure \( P \), volume \( V \), number of moles \( n \), the ideal gas constant \( R \), and temperature \( T \).

Step 2: Convert the temperature from Celsius to Kelvin, as the ideal gas law requires temperature in Kelvin. Use the formula \( T(K) = T(°C) + 273.15 \). For 80 °C, calculate \( T(K) = 80 + 273.15 \).

Step 3: Substitute the known values into the ideal gas law equation. You have \( n = 1.00 \) mol, \( V = 33.3 \) L, \( R = 0.0821 \) L·atm/(mol·K), and the temperature in Kelvin from Step 2. Rearrange the equation to solve for pressure \( P \): \( P = \frac{nRT}{V} \).

Step 4: Consider the deviation from ideal behavior. Real gases deviate from ideal behavior due to intermolecular forces and the volume occupied by the gas particles themselves. Compare Cl2 and CCl4: CCl4 is a larger molecule with stronger intermolecular forces (London dispersion forces) compared to Cl2, which is smaller and has weaker forces.

Step 5: Conclude that CCl4 would deviate more from ideal behavior under these conditions due to its larger size and stronger intermolecular forces, which cause it to behave less ideally compared to Cl2.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. This law assumes that gas particles do not interact and occupy no volume, which is a simplification. Understanding this law is crucial for calculating the pressure exerted by gases under specific conditions.

Real Gas Behavior

Real gases deviate from ideal behavior due to intermolecular forces and the volume occupied by gas particles. At high pressures and low temperatures, these deviations become significant. Recognizing the conditions under which gases behave ideally versus non-ideally helps in predicting which gas will deviate more from ideal behavior.

Molecular Structure and Polarity

The molecular structure and polarity of a substance influence its intermolecular forces. CCl<sub>4</sub> is a nonpolar molecule, while Cl<sub>2</sub> is also nonpolar but has different molecular interactions. Understanding these properties helps in assessing how each gas will behave under varying conditions, particularly in terms of deviation from ideal gas behavior.

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Based on their respective van der Waals constants( Table 10.3), is Ar or CO2 expected to behave more nearlylike an ideal gas at high pressures?

Textbook Question

Calculate the pressure that CCl₄ will exert at 80 °C if 1.00 mol occupies 33.3 L, assuming that (a) CCl₄ obeys the ideal-gas equation (b) CCl₄ obeys the van der Waals equation. (Values for the van der Waals constants are given in Table 10.3.)

Textbook Question

Table 10.3 shows that the van der Waals b parameter has units of L/mol. This means that we can calculate the sizes of atoms or molecules from the b parameter. Refer back to the discussion in Section 7.3. Is the van der Waals radius we calculate from the b parameter of Table 10.3 more closely associated with the bonding or nonbonding atomic radius discussed there? Explain.

Textbook Question

Torricelli, who invented the barometer, used mercury inits construction because mercury has a very high density,which makes it possible to make a more compact barometerthan one based on a less dense fluid. Calculate the densityof mercury using the observation that the column ofmercury is 760 mm high when the atmospheric pressure is1.01 * 105 Pa. Assume the tube containing the mercury isa cylinder with a constant cross-sectional area.

Textbook Question

A gas bubble with a volume of 1.0 mm³ originates at the bottom of a lake where the pressure is 3.0 atm. Calculate its volume when the bubble reaches the surface of the lake where the pressure is 730 torr, assuming that the temperature does not change.

Calculate the pressure that CCl4 will exert at 80 °C if 1.00 mol occupies 33.3 L, assuming that (c) Which would you expect to deviate more from ideal behavior under these conditions, Cl2 or CCl4? Explain.

Verified video answer for a similar problem:

Key Concepts

Ideal Gas Law

Real Gas Behavior

Molecular Structure and Polarity

Calculate the pressure that CCl₄ will exert at 80 °C if 1.00 mol occupies 33.3 L, assuming that (c) Which would you expect to deviate more from ideal behavior under these conditions, Cl₂ or CCl₄? Explain.