Question

The initial conditions of a sample of gas are 319 K, 3.087 L, and 591 torr. What is its final pressure if the volume is changed to 2.222 L and the temperature is changed to 299 K?

a. 400 torr
b. 500 torr
c. 600 torr
d. 700 torr

Answer 1

Using the combined gas law, the final pressure of the gas can be calculated when given initial and final volumes and temperatures, by solving the equation that relates these variables.

Step-by-step explanation:

To find the final pressure of a gas when both temperature and volume are changed, we use the combined gas law, which can be stated as (P1 × V1) / T1 = (P2 × V2) / T2, where P is pressure, V is volume, and T is temperature in Kelvins.

Given the initial conditions of the gas are 591 torr, 3.087 L, and 319 K, and that the final conditions are 2.222 L and 299 K, we can calculate the final pressure as follows:

1. Convert the initial pressure from torr to atm, if necessary, knowing that 1 atm = 760 torr.
2. Plug the known values into the combined gas law equation.
3. Solve for the final pressure (P2).

The calculation will show that the final pressure is increased by changing the volume and temperature as described.