Final answer:
The approximate value of the equilibrium constant, Kp, for the change C2H5OC2H5(l) ⇌ C2H5OC2H5(g) at 25°C is approximately 0.75.
Step-by-step explanation:
The student is asking for the value of the equilibrium constant, specifically Kp, for the phase change of diethyl ether from liquid to gas at 25 ℃. To find Kp, we will use the fact that the vapor pressure of a substance at equilibrium is directly related to the partial pressure of its gas phase.
The equilibrium constant for the vaporization of a liquid is given by the formula Kp = Pgas, where Pgas is the equilibrium vapor pressure of the gas above the liquid. Here, we have been provided with the equilibrium vapor pressure of diethyl ether, which is 570 torr.
To use this value in the formula, we first need to convert torr to atmospheres, as equilibrium constants are typically reported in consistent units. We do this by using the conversion factor 1 atm = 760 torr.
Thus, Kp can be calculated as follows:
Kp = Pgas (in atm) = (570 torr)/(760 torr/atm) approximately equals 0.750 atm.
Therefore, the approximate value of Kp for the phase change of diethyl ether from liquid to gas at 25 ℃ is 0.750 atm.