Q. 8.11 - An Introduction to General, Organic, and Biological Chemistry

Question

The air in a cylinder with a piston has a volume of $220$ mL and
a pressure of $650$ mmHg.
a. To obtain a higher pressure inside the cylinder at constant
temperature and amount of gas, would the cylinder change
as shown in A or B? Explain your choice.

b. If the pressure inside the cylinder increases to $1.2$ atm, what
is the final volume, in milliliters, of the cylinder? Complete
the following data table

Step-by-Step Solution

Answer

Part(a) Cylinder would change as shown in figure A

Part(b) Required Table is given below.

Part(a) Step 1 : Given information

We are given that The air in a cylinder with a piston has a volume of $220$ mL and a pressure of $650$ mmHg.

Part(a) Step 2 : Simplify

According to Boyle's law if pressure increase volume will decrease and vice versa. so if To obtain a higher pressure inside the cylinder at constant temperature and amount of gas volume will decrease. therefore cylinder would change as shown in figure A.

Part(b) Step 1 : Given information

We are given that The air in a cylinder with a piston has a volume of $220$ mL and a pressure of $650$ mmHg.

Part(b) Step 2 : Simplify

As we know $PV=nRT$ so according to question required table is shown below.

Property	Conditions 1	Conditions 2	Know	Predict
Pressure (P)	1 atm	1.2 atm	PV=nRT	Given data
Volume (V)	220 mL	183.33 mL	PV=nRt	Volume will decrease