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Distilled water (4.839 ml) is added to a cuvette for calibration of the spectrovis. 3 aliquots, each 145.223 µl in volume, of 0.40 m cuso4 are then added sequentially to the water in the cuvette. what is [cuso4] after the third aliquot is added? provide your response to three digits after the decimal.

Respuesta :

jacob193

[tex] [\text{CuSO}_4] = 0.033\; \text{mol}\cdot\text{L}^{-1} [/tex]

Explanation:

[tex] c = n / V [/tex]

[tex] \left\begin{array}{ccc}1 \; \mu \text{L} &=& 1 \cdot 10^{-6} \; \text{L}\\1 \; \text{ml} &=& 1 \cdot 10^{-3} \; \text{L}\end{array}\right [/tex]

[tex] \left\begin{array}{ccc}n(\text{CuSO}_4) & = &c(\text{CuSO}_4, \text{conc.}) \cdot V(\text{CuSO}_4, \text{conc.})\\&=&0.40 \; \text{mol} \cdot \text{L}^{-1} \cdot 3\cdot 145.223 \cdot 10^{-6}\; \text{L}\\&=&1.743 \cdot 10^{-4} \; \text{mol}\end{array}\right [/tex]

[tex] \left\begin{array}{ccc}V(\text{CuSO}_4) &=& 4.839 \cdot 10^{-3} \; \text{L} + 3 \cdot 145.223 \cdot 10^{-6} \; \text{L}\\ & = & 5.275 \cdot 10^{-3}\; \text{L} \end{array}\right [/tex]

[tex] [\text{CuSO}_4] = n/V = 0.033 \; \text{mol} \cdot \text{L}^{-1} [/tex]

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