We couldn't find "The mass density of brain matter is 1.040 g/cm^3, and of that, the mass fraction which is hydrogen, is 0.107. Find the number of hydrogen protons in a volume of 1cm^3 of brain tissue"
To find the number of hydrogen protons in a volume of 1 cm^3 of brain tissue, we need to follow these steps:
Step 1: Calculate the mass of brain matter in 1 cm^3 using the mass density.
Mass of brain matter = (mass density) * (volume)
= (1.040 g/cm^3) * (1 cm^3)
= 1.040 g
Step 2: Calculate the mass of hydrogen in 1 cm^3 of brain tissue using the mass fraction of hydrogen.
Mass of hydrogen = (mass fraction of hydrogen) * (mass of brain matter)
= (0.107) * (1.040 g)
≈ 0.111 g
Step 3: Convert the mass of hydrogen to the number of hydrogen protons.
We know that 1 mole of hydrogen atoms contains Avogadro's number (6.022 x 10^23) of hydrogen atoms or protons.
The molar mass of hydrogen is 1 g/mol, meaning 1 g of hydrogen contains 1 mole of hydrogen atoms.
Number of hydrogen protons = (mass of hydrogen) / (molar mass of hydrogen) * (Avogadro's number)
= (0.111 g) / (1 g/mol) * (6.022 x 10^23)
≈ 6.665 x 10^22 hydrogen protons
Therefore, there are approximately 6.665 x 10^22 hydrogen protons in a volume of 1 cm^3 of brain tissue.