The formula to calculate the final pressure of a gas using the Pressure Law is:
\[ P_2 = P_1 \times \left(\frac{T_2}{T_1}\right) \]
where \( P_2 \) is the final pressure, \( P_1 \) is the initial pressure, \( T_2 \) is the final temperature, and \( T_1 \) is the initial temperature.
The Pressure Law, also known as Amontons' Law or Gay-Lussac's Law, is a basic principle in gas physics that states that the pressure of a given amount of gas is directly proportional to its temperature, provided that the volume remains constant. This means that if the temperature of the gas increases, the pressure also increases, and vice versa. This law is fundamental in understanding the behavior of gases under varying conditions.
Let's assume we have the following values:
Step 1: Divide the final temperature by the initial temperature:
\[ \frac{450}{300} = 1.5 \]
Step 2: Multiply the result by the initial pressure:
\[ P_2 = 100,000 \times 1.5 = 150,000 \text{ Pa} \]
Therefore, the final pressure of the gas is \( P_2 = 150,000 \) Pa.