Gas Laws Equations That Agree with the Ideal Gas Law

Which equations agree with the ideal gas law?

From the ideal gas law pV = nRT, we can derive several equations based on fixed variables. Which of the following equations match the ideal gas law?

Answer:

Part 1: b (Boyle's Law)
Part 2: b (Gay-Lussac's Law - NH3)

The ideal gas law, pV = nRT, is a fundamental principle in the study of gases. From this equation, several other equations can be derived based on which variables are held constant. Let's break down the relationships between pressure (p), volume (V), temperature (T), amount of gas (n), and the gas constant (R).

1. Boyle's Law

When the amount of gas (n) and temperature (T) are fixed, the relationship between pressure and volume is described by Boyle's Law. The equation p1V1 = p2V2 shows that the product of pressure and volume is constant.

2. Gay-Lussac's Law

When the amount of gas (n) and volume (V) are constant, the relationship between pressure and temperature is governed by Gay-Lussac's Law. The equation p/T = constant (p1/T1 = p2/T2) illustrates the proportional relationship between pressure and temperature.

3. Charles' Law

When the amount of gas (n) and pressure (p) are constant, the relationship between volume and temperature is described by Charles' Law. The equation V/T = constant (V1/T1 = V2/T2) demonstrates how volume changes with temperature.

4. Combined Gas Law

When only the amount of gas (n) is constant, the relationship between pressure, volume, and temperature is defined by the Combined Gas Law. The equation pV/T = constant (p1V1/T1 = p2V2/T2) shows the combined effects of pressure, volume, and temperature changes on a gas sample.

By understanding these relationships, we can apply the principles of the ideal gas law to various scenarios and analyze the behavior of gases under different conditions.