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 27" 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 need to rearrange the ideal gas law equation (pv = nrt) to solve for volume (V).
The given values are:
Temperature (T) = 27 K
Pressure (P) = 1.0 atm
Universal Gas Constant (R) = 0.082 atm/mol*K
Let's assume the number of moles (n) for each gas in containers A, B, and C are given as nA, nB, and nC, respectively.
To calculate the volume of gas in container A:
V = nA * R * T / P
Substituting the given values:
V_A = nA * 0.082 atm/mol*K * 27 K / 1.0 atm
V_A = nA * 2.214 L/mol
To calculate the volume of gas in container B:
V_B = nB * 0.082 atm/mol*K * 27 K / 1.0 atm
V_B = nB * 2.214 L/mol
To calculate the volume of gas in container C:
V_C = nC * 0.082 atm/mol*K * 27 K / 1.0 atm
V_C = nC * 2.214 L/mol
So, the volume of gas in container A is V_A = nA * 2.214 L/mol, in container B is V_B = nB * 2.214 L/mol, and in container C is V_C = nC * 2.214 L/mol.