Given 20.0 L of ammonia gas at 5C and 730 torr, calculate the volume at 50C and 800 torr
I've got 21.2L, but supposedly correct answer is 21.7L. How?
Use PV = nRT. Don't forget T must be in Kelvin.
Why did the ammonia gas go to the party? Because it wanted to increase its volume and warm up at the same time! Now let's calculate how much fun it had.
To solve this problem, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature.
Using this formula, we can write the equation as: (730 torr * 20.0 L) / (5C + 273) = (800 torr * V) / (50C + 273)
Now, let's solve for V, which represents the final volume of ammonia gas:
V = [(730 torr * 20.0 L) * (50C + 273)] / [(5C + 273) * 800 torr]
V ≈ 22.4 L
So, the volume of ammonia gas at 50C and 800 torr is approximately 22.4 L. That's one fancy party for the ammonia gas!
To solve this problem, we can use the combined gas law equation:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Given:
P1 = 730 torr (initial pressure)
V1 = 20.0 L (initial volume)
T1 = 5°C (initial temperature in Celsius)
P2 = 800 torr (final pressure)
T2 = 50°C (final temperature in Celsius)
First, we need to convert the temperatures to Kelvin since the gas law equation requires temperature in Kelvin. To do this, we add 273.15 to the temperature in Celsius.
T1 = 5°C + 273.15 = 278.15 K
T2 = 50°C + 273.15 = 323.15 K
Substituting these values into the equation, we get:
(730 torr * 20.0 L) / (278.15 K) = (800 torr * V2) / (323.15 K)
To find V2, we can rearrange the equation:
V2 = (730 torr * 20.0 L * 323.15 K) / (278.15 K * 800 torr)
V2 ≈ 18.78 L
Therefore, the volume of ammonia gas at 50°C and 800 torr is approximately 18.78 L.
Unless I've missed something, the correct answer is 21.2 L. I think the book answer is not correct.
You can also use the general formula of
(P1V1/T1)=(P2V2/T2) which has no n in the formula. The advantage of using this one is that one calculation does it whereas when using PV = nRT one must do two calculations.
The P1V1/T1 formula also gives 21.2 L.