Chapter 5, Problem 5.99P

(a)

Interpretation Introduction

Interpretation:

The number of moles of ${\text{Cl}}_{\text{2}}$ gas should be calculated that can be kept in 850 L tank at a temperature of 298 K by using ideal gas law for calculation.

Concept Introduction:

Ideal gas law equation is shown as:

  $\text{PV= nRT}$

Where,

P = Pressure

V = Volume

n = Number of moles

R = Universal gas constant

T = Temperature

(b)

Interpretation Introduction

Interpretation:

The pressure of tank should be calculated by using van der Waals equation.

Concept Introduction:

Van der Waals equation is shown as:

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

Where,

P = Pressure

V = Volume

n = Number of moles

R = Universal gas constant

T = Temperature

a ( $\text{6}\text{.49 atm}\cdot {\text{L}}^2{\text{mol}}^{-2}$ ) and b ( $0.0562\text{ L/mol}$ ) are constants.

(c)

Interpretation Introduction

Interpretation:

Whether the engineer fills the tank to the desired temperature or not should be determined.

Concept Introduction:

Ideal gas law equation is shown as:

  $\text{PV= nRT}$

Where,

P = Pressure

V = Volume

n = Number of moles

R = Universal gas constant

T = Temperature

Van der Waals equation is shown as:

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

Where,

P = Pressure

V = Volume

n = Number of moles

R = Universal gas constant

T = Temperature

a ( $\text{6}\text{.49 atm}\cdot {\text{L}}^2{\text{mol}}^{-2}$ ) and b ( $0.0562\text{ L/mol}$ ) are constants.