Chapter 11.6, Problem 46PPE

To determine

What equation models this situation?

Answer to Problem 46PPE

  $p_1{v}_1=p_2{v}_2$

Explanation of Solution

Given Information:

Boyles’s Law states that volume V varies inversely with pressure P for any gas at a constant temperature in an enclosed space. Suppose a gas at constant temperature occupies 153L at a pressure of 40mm of mercury.

Concept Used:

• Mathematically relationship between two variables that can be expressed by an equation in which one variable is equal to constant times the other variable is called direct variation.
• Mathematically relationship between two variables that can be expressed by an equation in which the product of two variables is constant is called inverse variation.

Calculation:

According to question

  $\begin{array}{c}pressure\cdot volume=cons\tan t\\ p_1{v}_1=p_2{v}_2\\ wherepressure=p\\ volume=v\\ cons\tan t=k\\ sop\cdot v=k\\ 40\cdot 153=k\\ k=6120\end{array}$