Respuesta :
The volume of acetone is 0.044 cm3
[tex]\boxed{\boxed{\bold{Further~explanation}}}[/tex]
Density is a quantity derived from the mass and volume
density is the ratio of mass per unit volume
With the same mass, the volume of objects that have a high density will be smaller than type
The unit of density can be expressed in g / cm3 or kg / m3
Density formula:
[tex]\large{\boxed{\rho~=~\frac{m}{V} }}}[/tex]
ρ = density
m = mass
v = volume
A common example is the water density of 1 gr / cm3
The mass itself is often equated with weight, even though it is different. Mass is the amount of matter in the matter while weight is related to the gravitational force
Known variable
mass of 35 mg
a density of 0.788 g / cm3
Asked
volume in cubic centimeters
Answer
mass is known to be 35 mg, then we change it first to units of gram (g) adjusting to units of density
35 mg = 35.10-3 grams
then:
volume = mass / density
volume = 35.10-3 / 0.788
volume = 0.044 cm3
[tex]\boxed{\boxed{\bold{Learn~more}}}[/tex]
density and molarity of the solution brainly.com/question/8151398
the percent of acetic acid in the vinegar brainly.com/question/3001349
the mass percent brainly.com/question/5142462
the mass of the fuel is in kilograms brainly.com/question/8312085
the relative density of the fuel
brainly.com/question/10889330
Keywords: density, mass, volume, A drop of acetone
The volume of the drop of acetone is [tex]\boxed{0.0444\,{\text{c}}{{\text{m}}^{\text{3}}}}[/tex].
Further Explanation:
Given:
The density of the drop of acetone is [tex]0.788\,{{\text{g}} \mathord{\left/{\vphantom {{\text{g}} {{\text{c}}{{\text{m}}^{\text{3}}}}}} \right.\kern-\nulldelimiterspace} {{\text{c}}{{\text{m}}^{\text{3}}}}}[/tex].
The mass of the drop of acetone is [tex]35\,{\text{mg}}[/tex].
Concept:
The density of the drop is the amount of matter contained in the unit volume of the drop. The density is defined as the mass per unit volume. The unit of density of a particular object is represent as [tex]{{\text{g}} \mathord{\left/ {\vphantom {{\text{g}} {{\text{c}}{{\text{m}}^{\text{3}}}}}} \right.\kern-\nulldelimiterspace} {{\text{c}}{{\text{m}}^{\text{3}}}}}[/tex] or [tex]{{{\text{kg}}} \mathord{\left/{\vphantom {{{\text{kg}}} {{{\text{m}}^{\text{3}}}}}} \right.\kern-\nulldelimiterspace} {{{\text{m}}^{\text{3}}}}}[/tex].
The mathematical representation of the density is as shown below:
[tex]\boxed{\rho = \frac{m}{V}}[/tex]
Here, [tex]\rho[/tex] is the density of the acetone, [tex]m[/tex] is the mass of the drop and [tex]V[/tex] is the volume contained.
Convert the mass of the drop of acetone into gram.
[tex]\begin{aligned}m&= 35\,{\text{mg}}\left( {\frac{{1\,{\text{g}}}}{{1000\,{\text{mg}}}}} \right)\\&= 0.035\,{\text{g}}\\\end{aligned}[/tex]
Substitute [tex]0.788\,{{\text{g}} \mathord{\left/ {\vphantom {{\text{g}} {{\text{c}}{{\text{m}}^{\text{3}}}}}} \right. \kern-\nulldelimiterspace} {{\text{c}}{{\text{m}}^{\text{3}}}}}[/tex] for [tex]\rho[/tex] and [tex]0.035\,{\text{g}}[/tex] for [tex]V[/tex] in above expression.
[tex]\begin{aligned}0.788\,{{\text{g}} \mathord{\left/{\vphantom {{\text{g}} {{\text{c}}{{\text{m}}^{\text{3}}}}}} \right.\kern-\nulldelimiterspace} {{\text{c}}{{\text{m}}^{\text{3}}}}} &= \frac{{0.035\,{\text{g}}}}{V} \\V&= \frac{{0.035\,{\text{g}}}}{{0.788\,{{\text{g}} \mathord{\left/{\vphantom {{\text{g}} {{\text{c}}{{\text{m}}^{\text{3}}}}}} \right.\kern-\nulldelimiterspace} {{\text{c}}{{\text{m}}^{\text{3}}}}}}}\\&= 0.0444\,{\text{c}}{{\text{m}}^{\text{3}}} \\\end{aligned}[/tex]
Thus, the volume of the drop of acetone is [tex]\boxed{0.0444\,{\text{c}}{{\text{m}}^{\text{3}}}}[/tex].
Learn More:
- Calculate the average translational kinetic energy (sometimes just called average kinetic energy) https://brainly.com/question/9078768
- Which of the following are units for expressing rotational velocity, commonly denoted by ω https://brainly.com/question/2887706
- Which of the following is an example of a nonpoint source of freshwater pollution https://brainly.com/question/1482712
Answer Details:
Grade: High School
Chapter: Units and measurement
Subject: Physics
Keywords: Drop, acetone, nail polish remover, 35 mg, density, mass, volume, cubic centimetres, mass per unit volume.
