Calculate each of the following quantities in 0.183 mole {\rm (C_3H_5)_2O}: Find the Atoms of H and C
To find the number of atoms of H (hydrogen) and C (carbon) in 0.183 moles of (C3H5)2O, we first need to determine the molecular formula of (C3H5)2O.
The molecular formula (C3H5)2O represents a compound containing carbon (C), hydrogen (H), and oxygen (O). The subscript numbers indicate the number of atoms of each element in the molecule.
In this case, we have "2" as the subscript for (C3H5), indicating that there are two copies of the (C3H5) group present in the molecule. Each (C3H5) group consists of 3 carbon atoms (C) and 5 hydrogen atoms (H).
Let's break down the molecular formula:
(C3H5)2O = 2 * (C3H5) + O
Now, we can calculate the number of atoms of H and C in 0.183 moles of (C3H5)2O.
Step 1: Find the molar mass of (C3H5)2O.
We will begin by calculating the molar mass of (C3H5)2O.
The molar mass of each element can be found in the periodic table:
C (carbon) atomic mass = 12.01 g/mol
H (hydrogen) atomic mass = 1.01 g/mol
O (oxygen) atomic mass = 16.00 g/mol
Molar mass of (C3H5)2O:
= (2 * Molar mass of (C3H5)) + Molar mass of O
= (2 * [(3 * Atomic mass of C) + (5 * Atomic mass of H)]) + Atomic mass of O
= (2 * [(3 * 12.01 g/mol) + (5 * 1.01 g/mol)]) + 16.00 g/mol
Using the given atomic masses and performing the calculation, you will find the molar mass of (C3H5)2O.
Step 2: Calculate the number of moles of (C3H5)2O.
Given that we have 0.183 moles of (C3H5)2O in question, there is no need for any additional calculation.
Step 3: Calculate the number of atoms of H and C.
To calculate the number of atoms of H and C, we need to use Avogadro's number, which states that there are 6.022 x 10^23 atoms in 1 mole of any substance.
To calculate the number of atoms:
Number of atoms of H = Number of moles of (C3H5)2O * Avogadro's number * 5 (since there are 5 atoms of H in each (C3H5) group)
Number of atoms of C = Number of moles of (C3H5)2O * Avogadro's number * 3 (since there are 3 atoms of C in each (C3H5) group)
Simply plug in the values into the equation and calculate each quantity.
Once you have performed the calculations, you will have the number of atoms of H and C in 0.183 moles of (C3H5)2O.