Gas Laws Problem: Final Pressure Calculation

What is the final pressure of the gas sample when the temperature is increased from 25°C to 40°C and the volume expands from 3.50 L to 6.80 L under a pressure of 970 torr?

Choose one:

A. 1150.8 torr

B. 1426.7 torr

C. 1306.6 torr

Answer:

The final pressure of the gas sample is 1306.6 torr.

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

(P1 x V1) / T1 = (P2 x V2) / T2

Where P1, V1, and T1 are the initial pressure, volume, and temperature, respectively, and P2, V2, and T2 are the final pressure, volume, and temperature, respectively.

Plugging in the given values, we get:

(970 torr x 3.50 L) / (25 + 273.15 K) = (P2 x 6.80 L) / (40 + 273.15 K)

Simplifying and solving for P2, we get:

P2 = (970 torr x 3.50 L x (40 + 273.15 K)) / (25 + 273.15 K) / 6.80 L

P2 = 1306.6 torr

Therefore, the final pressure of the gas sample is 1306.6 torr.