Answer the following statement(s) true (T) or false (F)
A. You can estimate the vapor pressure of a compound using the Peng-Robinson equation of state, and to do so, you only need to know the value of the acentric factor.
B. You can estimate the vapor pressure of a compound using the shortcut equation, but it involves assuming the vapor is an ideal gas.
C. You can estimate the vapor pressure of a compound using the Clausius-Clapeyron equation, but it involves assuming the enthalpy of vaporization is constant.
D. You can estimate the vapor pressure of a compound using the Peng-Robinson equation of state, and to do so, you only need to know the critical temperature and critical pressure.
E. At least two of the above are true.
A. Incorrect. The Peng-Robinson EOS requires three physical properties: critical temperature, critical pressure and the acentric factor.
B. Incorrect. The shortcut equation does not use any ideal gas assumptions.
C. Correct. This is one of the assumptions made in deriving the Clausius-Clapeyron equation, and the one most likely to be inaccurate over a large temperature range.
D. Incorrect. The Peng-Robinson EOS requires three physical properties: critical temperature, critical pressure and the acentric factor.
E. Incorrect. Only one is correct.
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Let be a simple random sample from a
population. For any constant k> 0, define
. Consider
as an estimator of
.
a. Compute the bias of in terms of k.
b. Compute the variance of in terms of k.
c. Compute the mean squared error of in terms of k.
d. For what value of k is the mean squared error of minimized?