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A second-year chemistry student is asked to make up a 500.0 mL sample of 0.057 M solution of aspirin to study the rate of hydrolysis of aspirin in the digestive system. Molar mass of Aspirin, acetylsalicylic acid, C9H8O4 = 180.17 g mol-1. (a) Calculate the mass (in grams) of aspirin that the student would need to weigh out. Provide your numerical answers and units.

Question

A second-year chemistry student is asked to make up a 500.0 mL sample of 0.057 M solution of aspirin to study the rate of hydrolysis of aspirin in the digestive system. Molar mass of Aspirin, acetylsalicylic acid, C9H8O4 = 180.17 g mol-1. (a) Calculate the mass (in grams) of aspirin that the student would need to weigh out. Provide your numerical answers and units.

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Solution

Para calcular la masa de aspirina necesaria para preparar una solución de 500.0 mL con una concentración de 0.057 M, se deben seguir los siguientes pasos:

  1. Convertir el volumen de la solución a litros: 500.0mL=0.500L 500.0 \, \text{mL} = 0.500 \, \text{L}

  2. Calcular los moles de aspirina necesarios usando la concentración molar: Moles de aspirina=Concentracioˊn×Volumen \text{Moles de aspirina} = \text{Concentración} \times \text{Volumen} Moles de aspirina=0.057M×0.500L=0.0285moles \text{Moles de aspirina} = 0.057 \, \text{M} \times 0.500 \, \text{L} = 0.0285 \, \text{moles}

  3. Calcular la masa de aspirina usando la cantidad de moles y la masa molar: Masa de aspirina=Moles de aspirina×Masa molar \text{Masa de aspirina} = \text{Moles de aspirina} \times \text{Masa molar} Masa de aspirina=0.0285moles×180.17g/mol=5.135g \text{Masa de aspirina} = 0.0285 \, \text{moles} \times 180.17 \, \text{g/mol} = 5.135 \, \text{g}

Por lo tanto, la masa de aspirina que el estudiante necesita pesar es 5.135 gramos.

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