3. If a substance of mass 25 g has a volume of 10 cm^3, its density is:=
a. 2500 kg/m^3.
b. 2.5 kg/m^3.
c. 2500 g/cm^3.
d. 250 g/cm^3.
Answers
Answer :-
Density of the substance is 2500 kg/m³ [Option.a]
Explanation :-
We have :-
→ Mass of the substance = 25 g
→ Volume = 10 cm³
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From the existing options, we can understand that we have to calculate density of the substance in kg/m³.
Firstly, let's convert mass of the substance from g to kg and volume of the substance from cm³ to m³.
Mass :-
⇒ 1 g = 0.001 kg
⇒ 25 g = 25(0.001)
⇒ 0.025 kg
Volume :-
⇒ 1 cm³ = 10⁻⁶ m³
⇒ 10 cm³ = 10(10⁻⁶)
⇒ 10⁻⁵ m³
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Density = Mass/Volume
⇒ Denisty = 0.025/10⁻⁵
⇒ Density = 0.025 × 10⁵
⇒ Denisty = 0.025 × 100000
⇒ Density = 2500 kg/m³
Answer:
Given :-
- A substance of mass 25 g has a volume of 10 cm³.
To Find :-
- What is the density of a substance.
Formula Used :-
Density Formula :
where,
- ρ = Density
- m = Mass
- v = Volume
Solution :-
First, we have to convert mass g to kg :
Again, we have to convert volume cm³ to m³ :
Now, we have to find the density of a substance :
Given :
According to the question by using the formula we get,
The density of a substance is 2500 kg/m³.
Hence, the correct options is option no (a) 2500 kg/m³.