Question

15.0 L of an ideal gas at 298 K and 3.36 atm are heated to 383 K with a new pressure of 6.00 atm. What is the new volume in liters?

Answer 1

To find the new volume of an ideal gas when the temperature and pressure change, use the combined gas law. By inserting the known values into the equation and solving for the new volume, you will determine the final volume in liters. The new volume of the gas is approximately 12.6 L.

Step-by-step explanation:

To solve this problem, we can use the combined gas law formula:

P1V1/T1 = P2V2/T2

First, we need to convert the temperatures to Kelvin, as the formula requires temperature in Kelvin. So, 298 K becomes 298 + 273 = 571 K, and 383 K remains as 383 K.

Next, we can substitute the values into the formula:

(3.36 atm)(15.0 L)/(571 K) = (6.00 atm)(V2)/(383 K)

Simplifying the equation, we find that V2, the new volume, is approximately 12.6 L.