Question

A sample of gas in a 27.5 L container is initially at 27°C and 725 mmHg. If the pressure is reduced to 457 mmHg and the temperature is increased to 71°C, what is the final volume? Add 273 to convert to Kelvin.

Answer 1

The final volume of the gas is 31.72 L.

Step-by-step explanation:

To solve this problem, we can use the combined gas law formula which relates the initial and final values of pressure, volume, and temperature:

P1 * V1 / T1 = P2 * V2 / T2

Plugging in the given values, we have:

(725 mmHg) * (27.5 L) / (27 + 273 K)

= (457 mmHg) * (V2) / (71 + 273 K)

Now, we can solve for V2:

V2 = (725 mmHg * 27.5 L * (71 + 273 K)) / (457 mmHg * (27 + 273 K))

V2 = 31.72 L

Therefore, the final volume of the gas is 31.72 L.