Nitrogen dioxide is a red-brown gas that is responsible for the color of photochemical smog. A sample of nitrogen dioxide has a volume of 28.6 L at 45.3$\degree$C and 89.9 kPa. What is its volume at STP?

Question

Quizplus · Accepted Answer

To solve the problem, we need to use the combined gas law, which relates the pressure, volume, and temperature of a gas. The formula is:

(P1V1/T1) = (P2V2/T2)

where P1, V1, and T1 are the initial conditions, and P2, V2, and T2 are the final conditions.

We are given the initial volume (V1) as 28.6 L, the initial temperature (T1) as 45.3°F = 7.4°C = 280.4 K, and the initial pressure (P1) as 89.9 kPa.

At STP, the temperature is 0°C = 273.15 K, and the pressure is 1 atm = 101.325 kPa.

So, we can plug in these values and solve for V2:

(89.9 kPa × 28.6 L) / 280.4 K = (101.325 kPa × V2) / 273.15 K

V2 = (89.9 kPa × 28.6 L × 273.15 K) / (280.4 K × 101.325 kPa)

V2 = 21.8 L

Therefore, the answer is choice A: 21.8 L.

Nitrogen Dioxide Is a Red-Brown Gas That Is Responsible for the Color