Q. 8.21 - An Introduction to General, Organic, and Biological Chemistry

Question

Cyclopropane, C₃H_6, is a general anesthetic. A 5.0-L sample has a pressure of 5.0 atm. What is the final volume, in liters, of this gas given to a patient at a pressure of 1.0 atm with no change in temperature and amount of gas?

Step-by-Step Solution

Answer

The final volume, in liters, of this gas given to a patient at a pressure of $1.0atm$ with no change in temperature and amount of gas is $25.0L$.

Step 1: Given information

We need to find the final volume of gas which has been given to patient.

Step 2: Explanation

As the temperature is constant so we can apply Boyle's law

$P1V1=P2V2$

Now given values are,

$P1=5.0 atm$

$V1=5.0L$

$P2=1.0 atm$

Substituting the given values we get,

$V2=\frac{5.0 atm\times 5.0 L}{1.0 atm}=25.0 L$

So the final volume, in liters, of this gas given to a patient at a pressure of $1.0 atm$with no change in temperature and amount of gas is $25.0L$