Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

The average density of the universe as a whole is estimated as 3×1029 g/ml. If we assume that the entire mass is only H atoms, what is the average volume of space that contains once H atoms?
A.111.111 l
B.1.8×104l
C.3.6×104l
D.55.56 l

Answer
VerifiedVerified
446.7k+ views
like imagedislike image
Hint:The term "density" refers to the amount of mass per unit of volume. An object's average density is proportional to its total mass divided by its total volume. An object composed of a more dense material (such as iron) would have less volume than one made of a less dense substance of comparable mass (such as water).

Complete answer:
Density of universe =3×1029 g/ml
We know that Atomic mass of Hydrogen = 1 amu
To find the mass of one Hydrogen atom, we divide it using Avogadro's number.
Mass of one Hydrogen atom = 16.023×1023
Mass of one Hydrogen atom = 1.66×1024
​ The term "density" refers to the amount of mass per unit of volume. An object's average density is proportional to its total mass divided by its total volume. An object composed of a more dense material (such as iron) would have less volume than one made of a less dense substance of comparable mass (such as water).
d=mv, where m = Mass, v = Volume
v=md
Substituting the values, we get
v=1.66×10243×1029g/ml
v=0.5533×105
​v = 55333.33 ml
v = 55.56 litre

Hence, Option D is correct.

Note:
The term "density" refers to the amount of mass per unit of volume. An object's average density is proportional to its total mass divided by its total volume. An object composed of a more dense material (such as iron) would have less volume than one made of a less dense substance of comparable mass (such as water).
Latest Vedantu courses for you
Grade 7 | CBSE | SCHOOL | English
Vedantu 7 CBSE Pro Course - (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
MathsMaths
EnglishEnglish
ScienceScience
₹49,800 (9% Off)
₹45,300 per year
EMI starts from ₹3,775 per month
Select and buy