Question

a 59-kg woman has 0.0097 mol of hemoglobin (molar mass = 64,456 g/mol) in her blood.

a. how many hemoglobin molecules is this? type your answer... x 10^type your answer... molecules
b. how many grams of hemoglobin is this? type your answer... g

Explanation:

Identify given values and target unknowns

We are given:

• Amount of hemoglobin: \(n = 0.0097\text{ mol}\)
• Molar mass of hemoglobin: \(M = 64,456\text{ g/mol}\)

We need to find:

• Part a: Number of hemoglobin molecules in scientific notation: \(\text{coefficient} \times 10^{\text{exponent}}\)
• Part b: Mass of hemoglobin in grams (\(\text{g}\))

Calculate the number of molecules

To find the number of molecules, we multiply the amount in moles by Avogadro's number:

$$ N = n \times N_A $$

$$ N = 0.0097\text{ mol} \times 6.022 \times 10^{23}\text{ molecules/mol} $$

$$ N = 5.84134 \times 10^{21}\text{ molecules} $$

Rounding to two significant figures (matching \(0.0097\)):

$$ N \approx 5.8 \times 10^{21}\text{ molecules} $$

Calculate the mass in grams

To find the mass in grams, we multiply the amount in moles by the molar mass:

$$ m = n \times M $$

$$ m = 0.0097\text{ mol} \times 64,456\text{ g/mol} $$

$$ m = 625.2232\text{ g} $$

Rounding to two significant figures:

$$ m \approx 630\text{ g} $$

(Or keeping more precision if the online system expects unrounded values, \(625.22\) or \(630\). Let's provide both the standard rounded value and the direct calculation).

Answer:

A 59-kg woman has 0.0097 mol of hemoglobin (molar mass = 64,456 g/mol) in her blood.

a. How many hemoglobin molecules is this? <blank>5.8</blank> \(\times 10\) <blank>21</blank> molecules

b. How many grams of hemoglobin is this? <blank>630</blank> g