# 35 Gay Lussac'S Law Worksheet Answers

## Introduction

In the world of chemistry, Gay-Lussac's Law is a fundamental concept that helps us understand the behavior of gases. This law, also known as the pressure-temperature law, states that the pressure of a gas is directly proportional to its temperature, provided the volume and amount of gas remain constant. To fully grasp this concept, it is essential to practice solving problems and exercises related to Gay-Lussac's Law. In this article, we will explore a worksheet with answers to help you master this law.

## Understanding Gay-Lussac's Law

Before diving into the worksheet answers, let's review the basic principles of Gay-Lussac's Law. This law describes the relationship between pressure and temperature in a closed system. According to Gay-Lussac's Law, if the temperature of a gas increases, its pressure will also increase, as long as the volume and amount of gas remain constant. Conversely, if the temperature decreases, the pressure will also decrease. This law is particularly important in understanding the behavior of gases at different temperatures.

### Worksheet Question 1: Calculating Pressure

The first question in the worksheet asks you to calculate the pressure of a gas given its temperature and initial pressure. To solve this question, you need to use the formula derived from Gay-Lussac's Law: P1/T1 = P2/T2. Substitute the given values and solve for the unknown pressure.

### Worksheet Question 2: Determining Temperature

This question challenges you to find the temperature of a gas when its pressure undergoes a change. To solve this problem, you can rearrange the Gay-Lussac's Law formula to solve for temperature: T2 = P2 * T1 / P1. Plug in the given values and calculate the temperature.

### Worksheet Question 3: Applying Gay-Lussac's Law

In this question, you are given the initial pressure and temperature of a gas, as well as the final pressure. Your task is to find the final temperature of the gas. Apply the Gay-Lussac's Law formula, rearrange it to solve for temperature, and calculate the final temperature of the gas.

## Worksheet Answers

Now that we have reviewed the concepts behind Gay-Lussac's Law and the types of questions you may encounter in a worksheet, let's move on to the answers for the worksheet questions:

### Answer to Question 1

To calculate the pressure, we can use the Gay-Lussac's Law formula: P1/T1 = P2/T2. Let's say the initial temperature is 300 K and the initial pressure is 2 atm. The final temperature is given as 400 K. Plugging these values into the formula, we get:

P1/300 = P2/400

Cross-multiplying, we find: P1 * 400 = 2 * 300

Simplifying the equation: P1 = 1.5 atm

### Answer to Question 2

In this question, we are asked to find the temperature when the pressure changes. Let's say the initial pressure is 3 atm, the initial temperature is 400 K, and the final pressure is 2 atm. We can rearrange the formula T2 = P2 * T1 / P1 and substitute the given values:

T2 = 2 * 400 / 3

Simplifying the equation, we find: T2 ≈ 266.67 K

### Answer to Question 3

For this question, we are given the initial pressure and temperature of a gas and asked to find the final temperature. Let's assume the initial pressure is 2 atm, the initial temperature is 300 K, and the final pressure is 4 atm. Rearranging the formula to solve for temperature, we have:

T2 = P2 * T1 / P1

Substituting the given values, we get: T2 = 4 * 300 / 2

Simplifying the equation, we find: T2 = 600 K

## Conclusion

Gay-Lussac's Law is a fundamental concept in chemistry that helps us understand the relationship between pressure and temperature in a closed system. By practicing and solving problems related to this law, you can strengthen your understanding and problem-solving skills. The worksheet answers provided in this article should serve as a helpful guide in mastering Gay-Lussac's Law and its applications. Remember to always double-check your calculations and equations to ensure accuracy. Happy learning and problem-solving!