A 8.5 L sample is collected at 45 degrees C. What will the volume be if the temperature is raised to 70 degrees C.
13.2
Constant P?
(V1/T1) = (V2/T2)
Remember T must be in kelvin.
To solve this problem, we can use the ideal gas law, which states that the pressure of a gas is directly proportional to its temperature and volume when the amount of gas and the number of gas particles remain constant. The ideal gas law equation is:
PV = nRT
Where:
P = Pressure
V = Volume
n = moles of gas
R = gas constant
T = Temperature
In this case, we are given the initial volume (V1 = 8.5 L) and the initial temperature (T1 = 45°C). We need to find the final volume (V2) when the temperature changes to 70°C.
To find V2, we can rearrange the ideal gas law equation as follows:
V1/T1 = V2/T2
Now we can substitute the given values:
8.5 L / (45 + 273) K = V2 / (70 + 273) K
To solve for V2, we multiply both sides of the equation by (70 + 273) K:
V2 = (8.5 L / (45 + 273) K) * (70 + 273) K
Using the formula above, we can calculate V2.