Question

2. A sample of nitrogen gas (N 2 ​ ) at 298 K and 745 torr has a volume of 37. 42 L. What volume will it occupy if the pressure is increased to 894 torr at constant temperature? A) 22. 3 L B) 31. 2 L C) 44. 9 L D) 112 L E) 380 L

Answer 1

Explanation :

We can use Boyle's Law to solve this problem. Boyle's Law states that the pressure and volume of a gas are inversely proportional at constant temperature.

Let's denote the initial volume as V1, the initial pressure as P1, and the final volume as V2, and the final pressure as P2.

According to Boyle's Law, we have:

P1 * V1 = P2 * V2

Plugging in the values we know:

745 torr * 37.42 L = 894 torr * V2

Simplifying the equation:

27796.9 torr * L = 894 torr * V2

Dividing both sides by 894 torr:

V2 = 27796.9 torr * L / 894 torr

V2 = 31.1 L

Therefore, the volume of the nitrogen gas will be approximately 31.1 L when the pressure is increased to 894 torr.

Answer : B) V2 = 31.1 L