how is mass related to volume?
回答 (12)
The definition of density is : density = mass / volume
Hence, mass = density × volume
For a certain substance, density is constant.
Hence, mass = constant × volume
i.e., mass ∝ volume
Conclusion: the mass of a certain substance is directly proportional to its volume.
Mass = ( pi*volume / plank constant )^2
Mass is the product of density and volume of that material.
The mathematical expression which relates the mass density and volume is
Density = mass/volume
⟹ mass = density x volume
⟹ m = d x v
Units of mass = g or kg
⟹ mass of an object is directly related with the density and makes inverse relation with the volume.
Example :
Mass of 1 litre of water 1000 g or 1 kg. Because it’s density 1000 kg/m3=1000 kg/1000 litre
mass = density * volume
so
mass is directly proportional to volume
As its name implies, there are 1,000 milliliters in a liter. Density is the ratio of mass to volume—or, to put its definition in terms of fundamental properties, of mass divided by cubed length. Density can also be viewed as the amount of matter within a given area.
They are related by the the density triangle.
Explanation:
They are related by the the density triangle
d =
m
V
m = d×V
V =
m
d
DENSITY
Density is defined as mass per unit volume.
d =
m
V
Example:
A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?
Step 1: Calculate the volume
V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³
Step 2: Calculate the density
d =
m
V
=
433
g
200
c
m
³
= 2.16 g/cm³
MASS
d =
m
V
We can rearrange this to get the expression for the mass.
m = d×V
Example:
If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?
m = d×V = 500 mL ×
1.11
g
1
m
L
= 555 g
VOLUME
d =
m
V
We can rearrange this to get the expression for the volume.
V =
m
d
Example:
What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.
Step 1: Convert kilograms to grams.
14.83 kg ×
1000
g
1
k
g
= 14 830 g
Step 2: Calculate the volume.
V =
m
d
= 14 830 g ×
1
c
m
³
19.32
g
= 767.6 cm³
The density of an object is defined as its mass per unit volume. Therefore, density of an object is inversely proportional to its volume. D=M/V. where, D is the density, M is the mass and V is the volume of the object.
Depends on density
Density is mass/volume
V = mass/density
Through density. Density = mass/volume
收錄日期: 2021-04-18 15:18:20
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