If a gas with a pressure of 6 atmospheres is cooled from 500 K to 250 K then what is its final pressure if the volume does not change? 20833 atm 30 atm 3 atm 0.33 atm

## Step 1The problem involves the application of Gay-Lussac's Law, which states that the pressure of a gas is directly proportional to its absolute temperature, provided the volume remains constant. This can be mathematically represented as:### where and are the initial pressure and temperature, and and are the final pressure and temperature.## Step 2In this problem, the initial pressure is 6 atmospheres, the initial temperature is 500 K, the final temperature is 250 K, and we are asked to find the final pressure .## Step 3Substitute the given values into the Gay-Lussac's Law formula:### ## Step 4Solve for by cross-multiplying and dividing:### atmospheres