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.
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
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