A patient’s blood is tested for growth hormone which has a molecular mass of 848.952 g/mol. The test results show a normal concentration of 4 . 0 × 10 − 6 g/L. How many moles of growth hormone are in 1 L of blood?
(4.0E-6 g/L) / (8.5E2 g/mol)
To determine the number of moles of growth hormone in 1 liter of blood, you need to use the given concentration of growth hormone and the molar mass of growth hormone.
First, let's convert the concentration from grams per liter (g/L) to moles per liter (mol/L):
Concentration = 4.0 × 10^(-6) g/L
To convert from grams (g) to moles (mol), you need to divide the mass by the molar mass. The molar mass of growth hormone is given as 848.952 g/mol.
Molar mass = 848.952 g/mol
Now, let's calculate the number of moles:
Number of moles = Concentration / Molar mass
Substituting the given values:
Number of moles = (4.0 × 10^(-6) g/L) / (848.952 g/mol)
Number of moles = 4.00 × 10^(-6) / 848.952 mol/L
Number of moles = 4.70 × 10^(-9) mol/L
Therefore, there are approximately 4.70 × 10^(-9) moles of growth hormone in 1 liter of blood.