What is the molar mass of adrenaline (C9H13NO3) ?

Question

Wyatt Atkins · Accepted Answer

#183g#.

Molar mass just means the mass of #1# mole of something.
So, the molar mass of #C_9H_13NO_3# would be the mass of #1# mole of #C_9H_13NO_3#.

In turn, #1# mole of #C_9H_13NO_3# is made of:

#9# moles of carbon.
#13# moles of hydrogen.
#1# mole of nitrogen.
#3# moles of oxygen.
This tells us that:

#C_9H_13NO_3 = 9xxC + 13xxH + N + 3xxO#

Axel Alvarado · Answer

undefined To find the molar mass of adrenaline (C9H13NO3), you sum up the atomic masses of all the atoms present in one molecule of adrenaline.

C: 9 atoms * atomic mass of carbon
H: 13 atoms * atomic mass of hydrogen
N: 1 atom * atomic mass of nitrogen
O: 3 atoms * atomic mass of oxygen

Using the periodic table, the atomic masses are approximately:
Carbon (C): 12.01 g/mol
Hydrogen (H): 1.008 g/mol
Nitrogen (N): 14.01 g/mol
Oxygen (O): 16.00 g/mol

Calculate:
$$ 9 \times 12.01 \text{ (C)} + 13 \times 1.008 \text{ (H)} + 1 \times 14.01 \text{ (N)} + 3 \times 16.00 \text{ (O)} $$

$$ = 108.09 \text{ (C)} + 13.104 \text{ (H)} + 14.01 \text{ (N)} + 48.00 \text{ (O)} $$

$$ = 183.204 \text{ g/mol} $$

So, the molar mass of adrenaline (C9H13NO3) is approximately 183.204 g/mol.