Question:

The number of hydrogen atoms present in $25.6\, g$ of sucrose $\left( C _{12} H _{22} O _{11}\right)$ which has a molar mass of $342.3\, g$ is

Updated On: Apr 15, 2024
  • $22\times10^{23}$
  • $9.91\times10^{23}$
  • $11\times10^{23}$
  • $44\times10^{23}H $atoms
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The Correct Option is B

Approach Solution - 1

Mole of sucrose $=\frac{\text { mass of sucrose (in gram) }}{\text { molecular weight of sucrose }} $
$=\frac{25.6}{342.3}=0.0747882$
Formula of sucrose $= C _{12} H _{22} O _{11}$
Number of $H $ atoms in one mole of sucrose $=22$
Number of $H$ atoms in $25.6 \,g$ of sucrose
$=22 \times 0.074788 \times 6.023 \times 10^{23}$
$=9.9 \times 10^{23}$
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Approach Solution -2

We must understand that molar mass is a mass attribute of a material, not an atomic characteristic. The molar mass is a common characteristic of many instances of the compound, which regularly fluctuates in mass due to the presence of isotopes. Typically, the molar mass is derived from standard nuclear loads and is thus an earthbound normal and component of the overall riches of constituent iota isotope on Earth. The molar mass is appropriate for converting between a substance's mass and its measure for mass quantities.
The molecular weight is sometimes used as an equivalent phrase for molar mass, particularly for subatomic mixes; nonetheless, the most authoritative sources characterize it in an unexpected way. The equation weight is a molar mass equivalent term that is occasionally used for non-atomic mixes such as ionic salts.
Finally, each atom's atomic mass must be specified below.
The total number of atoms,
Carbon = 12
Hydrogen = 1
Oxygen = 16
Then, Sucrose (C12H22O11),
Carbon = 12×12=144
Hydrogen = 1×22=22
Oxygen = 16×11=176
Therefore, the total molecular mass of sucrose is : 144+22+176=342 g/mol



 
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Concepts Used:

Mole Concept

In the field of chemistry, a mole is defined as the amount of a substance that contains exactly 6.02214076 * 1023 ‘elementary entities’ of the given substance.

The number 6.02214076*1023 is popularly known as the Avogadro constant and is often denoted by the symbol ‘NA’. The elementary entities that can be represented in moles can be atoms, molecules, monoatomic/polyatomic ions, and other particles (such as electrons).

For example, one mole of a pure carbon-12 (12C) sample will have a mass of exactly 12 grams and will contain 6.02214076*1023 (NA) number of 12C atoms. The number of moles of a substance in a given pure sample can be represented by the following formula:

n = N/NA

Where n is the number of moles of the substance (or elementary entity), N is the total number of elementary entities in the sample, and NA is the Avogadro constant.

The word “mole” was introduced around the year 1896 by the German chemist Wilhelm Ostwald, who derived the term from the Latin word moles meaning a ‘heap’ or ‘pile.

The mole concept refers to the atomic mass of a mole that is measured in grams. The gram atomic mass of an element is known as a mole. The mole concept combines the mass of a single atom or molecule in a.m.u. to the mass of a large group of comparable molecules in grams. Atomic mass is the mass of a single atom, whereas molecular mass is the mass of a group of atoms. 

The Formula of Mole Concept

The number of units that make up a mole has been calculated to be 6.022 ×10²³. The fundamental constant is also known as Avogadro's number (NA) or Avogadro constant. This constant is appropriately represented in chemistry using an explicit unit termed per mole.

Number of Moles = (Mass of the Sample)/(Molar Mass)

Read More: Mole Fraction