Given 10.0 L of N2 at - 78°C. What volume will the N2 occupy at 25°C (P is constant)?
Use (V1/T1) = (V2/T2)
T must be in kelvin.
12
To find the volume that the N2 will occupy at 25°C, we can use the combined gas law formula. The combined gas law relates the initial and final conditions of a gas sample when pressure remains constant. The formula is:
(P1 × V1)/T1 = (P2 × V2)/T2
Where:
P1 and P2 are the initial and final pressures, respectively.
V1 and V2 are the initial and final volumes, respectively.
T1 and T2 are the initial and final temperatures, respectively.
In this case, we are given:
V1 = 10.0 L (initial volume)
T1 = -78°C (initial temperature)
T2 = 25°C (final temperature)
P is constant (constant pressure, which means P1 = P2)
First, we need to convert the temperatures from Celsius to Kelvin because the temperature must be in Kelvin for this equation. To convert Celsius to Kelvin, we add 273.15 to the Celsius value.
T1 = -78°C + 273.15 = 195.15 K
T2 = 25°C + 273.15 = 298.15 K
Now we can substitute the known values into the combined gas law equation:
(P1 × V1)/T1 = (P2 × V2)/T2
Since P1 = P2 (constant pressure), we can simplify the equation to:
V1/T1 = V2/T2
We can rearrange this equation to solve for V2:
V2 = (V1 × T2)/T1
Now we can substitute the known values:
V2 = (10.0 L × 298.15 K)/195.15 K
Calculating this expression will give us the final volume.