Chapter 6, Problem 87E

Interpretation Introduction

(a)

Interpretation:

The pressure of chlorine gas with the help of an ideal gas equation and the Vander Waals equation at 100 degree Celsius should be calculated.

Concept introduction:

The ideal gas equation can be used to determine pressure, volume, moles and temperature of gases. The equation can be written as

$\text{PV = nRT}\text{}$

Here:

• P = Pressure (atm)
• V = Volume (L)
• n= Number of moles of gases
• R = Gas constant ( $\text{0}\text{.0821 L}\cdot \text{atm / K}\cdot \text{mol }$ )
• T = Temperature (K)

Usually, gases do not follow ideal behavior under all conditions of pressure, temperature and volume.

The relation of P,V, n and T of real gases can be given by Vander Waals equation:

$\left(\text{P + }\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}\right)\left(\text{V- n b}\right)\text{ = nRT}$

Interpretation Introduction

(b)

Interpretation:

The pressure of chlorine gas with the help of an ideal gas equation and the Vander Waals equation at 200 degree Celsius should be calculated.

Concept introduction:

The ideal gas equation can be used to determine pressure, volume, moles and temperature of gases. The equation can be written as

$\text{PV = nRT}\text{}$

Here:

• P = Pressure (atm)
• V = Volume (L)
• n= Number of moles of gases
• R = Gas constant ( $\text{0}\text{.0821 L}\cdot \text{atm / K}\cdot \text{mol }$ )
• T = Temperature (K)

Usually, gases do not follow ideal behavior under all conditions of pressure, temperature and volume.

The relation of P, V, n and T of real gases can be given by Vander Waals equation:

$\left(\text{P + }\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}\right)\left(\text{V- n b}\right)\text{ = nRT}$

Interpretation Introduction

(c)

Interpretation:

The pressure of chlorine gas with the help of an ideal gas equation and the Vander Waals equation at 400 degree Celsius should be calculated and also confirm that, at high temperatures the gas will behave more ideal in comparison to low pressures.

Concept introduction:

The ideal gas equation can be used to determine pressure, volume, moles and temperature of gases. The equation can be written as:

$\text{PV = nRT}\text{}$

Here:

• P = Pressure (atm)
• V = Volume (L)
• n= Number of moles of gases
• R = Gas constant ( $\text{0}\text{.0821 L}\cdot \text{atm / K}\cdot \text{mol }$ )
• T = Temperature (K)

Usually, gases do not follow ideal behavior under all conditions of pressure, temperature and volume.

The relation of P, V, n and T of real gases can be given by Vander Waals equation:

$\left(\text{P + }\frac{{\text{n}}^{\text{2}}\text{a}}{{\text{V}}^{\text{2}}}\right)\left(\text{V- n b}\right)\text{ = nRT}$