A sample of nitrogen gas has a volume of 4.5 L at a pressure of 4.0 atm . The temperature and the number of gas particles do not change.A sample of nitrogen gas has a volume of 4.5 L at a pressure of 4.0 atm . The temperature and the number of gas particles do not change. What is the volume of gas (in L ) at 17. 4 atm? Be sure your answer has the correct number of significant figure

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

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

Where:
P1 = initial pressure = 4.0 atm
V1 = initial volume = 4.5 L
T1 = initial temperature
P2 = final pressure = 17.4 atm
V2 = final volume (unknown)
T2 = final temperature

Since the temperature and number of gas particles do not change, T1 = T2. So we can simplify the equation to:

P1 * V1 = P2 * V2

Plugging in the values:
(4.0 atm) * (4.5 L) = (17.4 atm) * V2

Solving for V2:
V2 = (4.0 atm * 4.5 L) / 17.4 atm
V2 = 1.038 L

Therefore, the volume of gas at 17.4 atm is 1.038 L. Since the initial volume was given to have 2 significant figures, we should report the final volume with the same number of significant figures, which is 1.0 L.