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How many atoms of 12C are there in a 3.50 gram sample of this particular isotope?Question 5Select one:a.1.72 x 1023b.1.76 x 1023c.2.07 x 1024d.2.11 x 1024e.8.01 x 1023

Question

How many atoms of 12C are there in a 3.50 gram sample of this particular isotope?Question 5Select one:a.1.72 x 1023b.1.76 x 1023c.2.07 x 1024d.2.11 x 1024e.8.01 x 1023

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Solution

Para resolver esta pregunta, debemos seguir los siguientes pasos:

  1. Determinar la masa molar del 12C: La masa molar del carbono-12 (12C) es de 12 gramos por mol.

  2. Calcular el número de moles en la muestra: Utilizamos la fórmula: Nuˊmero de moles=Masa de la muestraMasa molar \text{Número de moles} = \frac{\text{Masa de la muestra}}{\text{Masa molar}} Sustituyendo los valores: Nuˊmero de moles=3.50 g12 g/mol=0.2917 moles \text{Número de moles} = \frac{3.50 \text{ g}}{12 \text{ g/mol}} = 0.2917 \text{ moles}

  3. Utilizar el número de Avogadro para encontrar el número de átomos: El número de Avogadro es 6.022×10236.022 \times 10^{23} átomos por mol. Multiplicamos el número de moles por el número de Avogadro: Nuˊmero de aˊtomos=0.2917 moles×6.022×1023 aˊtomos/mol \text{Número de átomos} = 0.2917 \text{ moles} \times 6.022 \times 10^{23} \text{ átomos/mol} Nuˊmero de aˊtomos1.76×1023 aˊtomos \text{Número de átomos} \approx 1.76 \times 10^{23} \text{ átomos}

Por lo tanto, la respuesta correcta es: b. 1.76×10231.76 \times 10^{23}

This problem has been solved

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