Question

H.W#1 The definition of average molecular weight is the ratio of the mass of a sample of the mixture ($m_t$) to the number of moles of all species ($n_t$) in the sample. Based on this definition, please derive the following equations. (1) $\overline{M} = y_1 \cdot M.W_1 + y_2 \cdot M.W_2 + ... = \sum_{i=1}^{i=n} y_i \cdot M.W_i$ (15 points) $y_i = \text{mole fraction of i}$, $M.W_i = \text{molecula weight of i}$ (2) $\frac{1}{\overline{M}} = \frac{x_1}{M.W_1} + \frac{x_2}{M.W_2} + \frac{x_3}{M.W_3} + ... = \sum_{i=1}^{i=n} \frac{x_i}{M.W_i}$ (15 points) $x_i = \text{mass fraction of i}$, $M.W_i = \text{molecula weight of i}$

          H.W#1 The definition of average molecular weight is the ratio of the mass of a sample of the mixture ($m_t$) to the number of moles of all species ($n_t$) in the sample. Based on this definition, please derive the following equations.
(1) $\overline{M} = y_1 \cdot M.W_1 + y_2 \cdot M.W_2 + ... = \sum_{i=1}^{i=n} y_i \cdot M.W_i$ (15 points)
$y_i = \text{mole fraction of i}$, $M.W_i = \text{molecula weight of i}$ 
(2) $\frac{1}{\overline{M}} = \frac{x_1}{M.W_1} + \frac{x_2}{M.W_2} + \frac{x_3}{M.W_3} + ... = \sum_{i=1}^{i=n} \frac{x_i}{M.W_i}$ (15 points)
$x_i = \text{mass fraction of i}$, $M.W_i = \text{molecula weight of i}$

$H.W#1 The definition of average molecular weight is the ratio of the mass of a sample of the mixture (mt) to the number of moles of all species (nt) in the sample. Based on this definition, please derive the following equations. (1) M = y1 · M.W1 + y2 · M.W2 + ... = ∑i=1^i=n yi · M.Wi (15 points) yi = mole fraction of i, M.Wi = molecula weight of i (2) (1)/(M) = (x1)/(M.W1) + (x2)/(M.W2) + (x3)/(M.W3) + ... = ∑i=1^i=n(xi)/(M.Wi) (15 points) xi = mass fraction of i, M.Wi = molecula weight of i$

Added by Lisa K.

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