the ideal gas law represented by the equation pv=nrt plays a crucial role in understanding the behavior of gases. consider a scenario where three different containers, A, B, and C, each contain a different gas. All containers are kept constant at 270 K and 1.0 atm. Assume the gasses behave ideally and the following value is true: R=0.082*atm/mol*K
Utilizing the ideal gas law equation calculate the volume of each gas in containers A, B, and C, assuming the temperature and pressure are constant. Show you work
To calculate the volume of each gas in containers A, B, and C, we can rearrange the ideal gas law equation:
PV = nRT
Where:
P = pressure (in atm)
V = volume (in liters)
n = number of moles of gas
R = ideal gas constant (0.082 atm/mol*K)
T = temperature (in Kelvin)
Let's calculate the volume for each container.
Container A:
P = 1.0 atm
T = 270 K
n = ?
Using the ideal gas law, we rearrange to solve for V:
V = (nRT) / P
V_A = (n * 0.082 * 270) / 1.0
V_A = 22.14n
Container B:
P = 1.0 atm
T = 270 K
n = ?
Similarly,
V_B = (n * 0.082 * 270) / 1.0
V_B = 22.14n
Container C:
P = 1.0 atm
T = 270 K
n = ?
Again,
V_C = (n * 0.082 * 270) / 1.0
V_C = 22.14n
Therefore, the volume of each gas in containers A, B, and C is given by 22.14 times the number of moles of gas in each container.