A sample of ammonina gas at 65.5 degrees celsius and 524 torr has avolume of 15.31 L. What is it's volume at -15.8 degrees celsius and its pressure is 524 torr?
To solve this problem, you can use the combined gas law:
(P₁ * V₁) / (T₁) = (P₂ * V₂) / (T₂)
Where:
P₁ is the initial pressure
V₁ is the initial volume
T₁ is the initial temperature
P₂ is the final pressure
V₂ is the final volume
T₂ is the final temperature
Let's input the given values into the equation and solve for V₂:
(P₁ * V₁) / (T₁) = (P₂ * V₂) / (T₂)
(524 torr * 15.31 L) / (65.5°C + 273.15°C) = (524 torr * V₂) / (-15.8°C + 273.15°C)
(524 torr * 15.31 L) / (338.65 K) = (524 torr * V₂) / (257.35 K)
Cross multiplying:
(524 torr * 15.31 L * 257.35 K) = (524 torr * V₂ * 338.65 K)
Simplifying:
797,239.02 torr * L * K = 177,617.72 torr * V₂
Dividing both sides by 177,617.72 torr:
(797,239.02 torr * L * K) / (177,617.72 torr) = V₂
Calculating:
V₂ ≈ 4.49 L
Therefore, the volume of the ammonia gas at -15.8 degrees Celsius and 524 torr is approximately 4.49 L.
To solve this problem, we can use the combined gas law, which relates the initial and final conditions of pressure, volume, and temperature. The combined gas law equation is:
(P1 * V1) / (T1) = (P2 * V2) / (T2)
Where:
P1 = initial pressure (524 torr)
V1 = initial volume (15.31 L)
T1 = initial temperature in Kelvin (65.5 + 273.15 = 338.65 K)
P2 = final pressure (524 torr)
V2 = final volume (unknown)
T2 = final temperature in Kelvin (-15.8 + 273.15 = 257.35 K)
Now, let's plug the given values into the equation.
(524 torr * 15.31 L) / (338.65 K) = (524 torr * V2) / (257.35 K)
To find V2, let's cross multiply and solve for V2.
(524 torr * V2) = (524 torr * 15.31 L * 257.35 K) / (338.65 K)
V2 = (524 torr * 15.31 L * 257.35 K) / (338.65 K * 524 torr)
Now, let's simplify the equation.
V2 = (15.31 L * 257.35 K) / (338.65 K)
V2 = 11.661 L
Therefore, the volume of the ammonia gas at -15.8 degrees Celsius and a pressure of 524 torr is approximately 11.661 L.
I presume you mean ammonia
Use P1V1/T1=P2V2/T2
You can leave the volumes as L and pressures as torr, but you need to use kelvin for the temperatures.
PS - thank you for correctly using celsius (lower case c)