Question

A patients blood is tested for growth hormone which has a molecular mass of 848.952g/mol. The test results show a normal concentration of 4.0 x 10^-6 g/L. How many miles of growth hormone are in 1 L of blood?

Answer 1

Answer:

$\boxed{4.7\times 10^{-9}}$

Explanation:

Data:

MM = 848.952 g/mol  

   c = 4.0 x 10⁻⁶ g/L

  V = 1 L

Calculations:

(a) Mass of growth hormone

$\text{Mass} = \text{1 L} \times \dfrac{4.0 \times 10^{-6} \text{ g}}{\text{1 L}} = 4.0 \times 10^{-6} \text{ g}$

(b) Moles of growth hormone

$\text{Moles} = 4.0 \times 10^{-6} \text{ g} \times \dfrac{\text{1 mol}}{\text{848.952 g}} = 4.7\times 10^{-9}\text{ mol}\\\\\text{There are \boxed{\mathbf{4.7\times 10^{-9}}\textbf{ mol}} of growth hormone in 1 L of blood.}$

Answer 2

Moles of the substance have been given by the mass and the molar mass of the solute molecule. In 1 L of blood, the number of moles of the growth hormone is 4.7 × 10⁻⁹ moles.

What are growth hormones?

Growth hormones are the peptide hormone also called somatotropin that regulated and stimulates growth by the cell and reproductive methods. They are produced by the pituitary gland and released in the blood.

Given,

The molecular mass of the growth hormone = 848.952g/mol

Hormone's normal concentration in blood =  4.0 x 10⁻⁶ g/L

The volume of blood = 1 liter

First, the mass of the growth hormone is calculated as,

Mass (m) = Molarity (concentration) × Volume

= 1 L ×  4.0 x 10⁻⁶ g/ L

= 4.0 x 10⁻⁶ gm

Now, the moles of the growth hormone in a liter of blood is calculated as,

Moles = mass ÷ molar mass

= 4.0 x 10⁻⁶ g ÷ 848.952g/mol

= 4.7 x 10⁻⁹ moles

Therefore, 4.7 x 10⁻⁹ moles of the hormone are present in 1 L of blood.

Learn more about growth hormones here:

https://brainly.com/question/12400457

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