Gas Law Challenge: Find the New Temperature!
What is the challenge in the gas law problem?
Given that some propane occupies 2.00 m³ at 18.0°C at an absolute pressure of 3.50 x 10⁵ N/m², the task is to find the new temperature when the absolute pressure is doubled and the volume is doubled.
What equation can be used to solve this gas law problem?
The combined gas law equation P1V1/T1 = P2V2/T2 can be utilized to determine the new temperature.
Solution:
To solve this gas law challenge, we need to apply the combined gas law equation P1V1/T1 = P2V2/T2, where P1, V1, and T1 represent the initial pressure, volume, and temperature respectively, and P2, V2, and T2 represent the final pressure, volume, and temperature respectively.
To find the new temperature when the absolute pressure is doubled and the volume is doubled, we will follow these steps:
1. Let T1 = 18.0°C + 273.15 (to convert Celsius to Kelvin), P1 = 3.50 x 10⁵ N/m², V1 = 2.00 m³, P2 = 2 * 3.50 x 10⁵ N/m², and V2 = 2 * 2.00 m³.
2. Substitute the values into the combined gas law equation: T2 = (P2 * V2 * T1) / (P1 * V1).
3. Calculate the new temperature T2 using the formula.
By following these steps, we can determine the new temperature in this gas law challenge. Stay positive and let's tackle this problem together!