Boyle's Law Worksheet Answers and Solutions

Understanding Boyle's Law: A Comprehensive Guide with Worksheet Answers and Solutions

Boyle’s Law is a fundamental concept in chemistry and physics that describes the relationship between the pressure and volume of a gas. This law is essential in understanding various phenomena in nature and has numerous applications in fields such as engineering, physics, and chemistry. In this article, we will delve into the concept of Boyle’s Law, its mathematical representation, and provide a worksheet with answers and solutions to help solidify your understanding.

What is Boyle's Law?

Boyle’s Law states that, at constant temperature, the volume of a gas is inversely proportional to the pressure. Mathematically, this can be represented as:

P1V1 = P2V2

where:

• P1 is the initial pressure
• V1 is the initial volume
• P2 is the final pressure
• V2 is the final volume

Derivation of Boyle's Law

The derivation of Boyle’s Law can be explained by considering a gas molecule as an ideal gas. An ideal gas is a hypothetical gas that obeys the gas laws at all temperatures and pressures. The behavior of an ideal gas can be described by the following equation:

PV = nRT

where:

• P is the pressure
• V is the volume
• n is the number of moles
• R is the gas constant
• T is the temperature

Rearranging the equation to isolate the volume, we get:

V = nRT / P

From this equation, we can see that the volume of a gas is inversely proportional to the pressure, which is the fundamental principle of Boyle’s Law.

Boyle's Law Worksheet

Here is a worksheet with five problems to help you practice applying Boyle’s Law:

Problem 1

A gas is initially at a pressure of 1.5 atm and a volume of 2.0 L. If the pressure is increased to 3.0 atm, what is the new volume of the gas?

Problem 2

A sample of gas has a volume of 500 mL at a pressure of 2.5 atm. If the pressure is decreased to 1.5 atm, what is the new volume of the gas?

Problem 3

A gas is initially at a pressure of 3.5 atm and a volume of 1.0 L. If the pressure is decreased to 2.5 atm, what is the new volume of the gas?

Problem 4

A gas is initially at a pressure of 2.0 atm and a volume of 3.0 L. If the pressure is increased to 4.0 atm, what is the new volume of the gas?

Problem 5

A sample of gas has a volume of 200 mL at a pressure of 1.2 atm. If the pressure is increased to 3.2 atm, what is the new volume of the gas?

Solutions to Boyle's Law Worksheet

Here are the solutions to the worksheet:

Problem 1

P1 = 1.5 atm, V1 = 2.0 L, P2 = 3.0 atm, V2 =?

Using Boyle’s Law, we can write:

P1V1 = P2V2

(1.5 atm)(2.0 L) = (3.0 atm)V2

V2 = (1.5 atm)(2.0 L) / (3.0 atm) = 1.0 L

Problem 2

P1 = 2.5 atm, V1 = 500 mL, P2 = 1.5 atm, V2 =?

Using Boyle’s Law, we can write:

P1V1 = P2V2

(2.5 atm)(500 mL) = (1.5 atm)V2

V2 = (2.5 atm)(500 mL) / (1.5 atm) = 833.33 mL

Problem 3

P1 = 3.5 atm, V1 = 1.0 L, P2 = 2.5 atm, V2 =?

Using Boyle’s Law, we can write:

P1V1 = P2V2

(3.5 atm)(1.0 L) = (2.5 atm)V2

V2 = (3.5 atm)(1.0 L) / (2.5 atm) = 1.4 L

Problem 4

P1 = 2.0 atm, V1 = 3.0 L, P2 = 4.0 atm, V2 =?

Using Boyle’s Law, we can write:

P1V1 = P2V2

(2.0 atm)(3.0 L) = (4.0 atm)V2

V2 = (2.0 atm)(3.0 L) / (4.0 atm) = 1.5 L

Problem 5

P1 = 1.2 atm, V1 = 200 mL, P2 = 3.2 atm, V2 =?

Using Boyle’s Law, we can write:

P1V1 = P2V2

(1.2 atm)(200 mL) = (3.2 atm)V2

V2 = (1.2 atm)(200 mL) / (3.2 atm) = 75 mL

📝 Note: Boyle's Law assumes that the temperature remains constant. If the temperature changes, the law is no longer applicable.

Boyle’s Law is a fundamental concept in chemistry and physics that describes the relationship between the pressure and volume of a gas. By understanding this law, we can predict the behavior of gases under different conditions. The worksheet and solutions provided in this article should help you practice applying Boyle’s Law and solidify your understanding of this concept.