Question:
If 224 mL of a triatomic gas has a mass of 1 g at 273 K and 1 atm. pressure, then the mass of one atom is
If 224 mL of a triatomic gas has a mass of 1 g at 273 K and 1 atm. pressure, then the mass of one atom is
Updated On: Jun 23, 2023
- $8.30 \times 0^{-23}g$
- $6.24 \times 10^{-23}g$
- $2.08 \times 10^{-23}g$
- $5.54 \times 10^{-23}g$
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The Correct Option is D
Solution and Explanation
No. of mol of triatomic gas
$=\frac{224\,mL}{22400\, mL\, mol^{-1} }$ $=10^{-2}\,mol$
No. of molecules
$=10^{-2} \, mol \times (6.02\times 10^{23}$ molecules $mol^{-1})$
$=6.02 \times 10^{21}$ molecules
No. of atoms $=3 \times 6.02\times10^{21}=18.06\times10^{21}$
$=1.806\times 10^{21}$
$1.806\times10^{21}$ atoms has mass $=1\,g$
$1$ atom has mass $=\frac{1}{1.806 \times 10^{21}} g$
$=\frac{10 \times 10^{-22}{1.806}}g=0.554\times 10^{-22}g$
$=5.54\times 10^{-23}$
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Chemistry is a vast subject and for understanding its significance we can take help of following points:
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Classification of Matter
There are two ways of classifying the matter:
(A) Physical Classification:
Matter can exist in three physical states:
- Solids - have definite volume and definite shape
- Liquids - have definite volume but not definite shape.
- Gases - have neither definite volume nor definite shape.
(B) Chemical Classification:
Based upon the composition, matter can be divided into two main types:
- Pure Substances are defined as a single substance (or matter) which cannot be separated by simple physical methods. Pure substances can be further classified as (i) Elements (ii) Compounds
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