Chapter 3.7, Problem 13CFU

a.

To determine

To graph: P versus V, if T is fixed.

Answer to Problem 13CFU

  

Explanation of Solution

Given information:

The ideal gas equation is as follows:

  $PV=nRT$

Here P is pressure, V is volume, T is temperature, n is moles of gas and R is gas constant.

Calculation:

The equation can be rewritten as follows:

  $P=\frac{nRT}{V}$

Since $n,R$ and $T$ are constant; i.e. then $P$ varies inversely as $V$ . The graph of P versus V, (at fixed T) is as follows:

  

b.

To determine

To find: the asymptotes of the graph.

Answer to Problem 13CFU

  $\begin{array}{l}x=0\left[\text{Vertical asymptote}\right]\\ y=0\left[\text{Horizontal asymptote}\right]\end{array}$

Explanation of Solution

Given information:

The ideal gas equation is as follows:

  $PV=nRT$

Here P is pressure, V is volume, T is temperature, n is moles of gas and R is gas constant.

Calculation:

The graph for the given function is shown below.

  

The y-axis denotes P and the x-axis denotes V. Thus, the graph clearly states that vertical asymptote is $x=0$ and horizontal asymptote is $y=0$

c.

To determine

To find: the changes in P for the given condition.

Answer to Problem 13CFU

P decreases but never reaches zero.

Explanation of Solution

Given information:

The ideal gas equation is as follows:

  $PV=nRT$

Here P is pressure, V is volume, T is temperature, n is moles of gas and R is gas constant.

The temperature is fixed.

Volume occupied by gas is very large

Calculation: