The formula to calculate the initial pressure using Gay-Lussac's Law is:
\[ P_1 = \frac{P_2}{T_2} \times T_1 \]
Where:
Gay-Lussac's Law states that the pressure of a gas is directly proportional to its temperature, assuming a constant volume and amount of gas. This law is important because it helps us understand the relationship between pressure and temperature in a gas, allowing us to make predictions and calculations in various scientific and practical applications, such as in the design of engines, weather forecasting, and gas storage.
Example:
Step 1: Calculate the initial pressure:
\[ P_1 = \frac{5}{10} \times 5 = 2.5 \text{ Pa} \]