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.
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
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