Tag: fundamental and derived units

Questions Related to fundamental and derived units

Brine has a density of $1.2  {g}/{cc}$. $40  cc$ of it are mixed with $30  cc$ of water. The density of solution is

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. $2.11 {g}/{cc}$

  2. $1.11 {g}/{cc}$

  3. $12.2 {g}/{cc}$

  4. $20.4 {g}/{cc}$

Show answer
Correct Option: B
Explanation:
given,  ${ \rho } _{ a }=1.2\quad 9/cc\quad \quad \quad { V } _{ a }=40cc$
                 ${ \rho } _{ b }=1g/cc\quad \quad \quad { V } _{ b }=30cc$

$ \rho _{mixture} = \dfrac { { \rho } _{ a }{ V } _{ a }+{ \rho } _{ b }{ V } _{ b } }{ { V } _{ a }+{ V } _{ b } } $

So  $ \rho _{mixture} = \dfrac { 1.2\times 40+1\times 30 }{ 40+30 } =\dfrac { 78 }{ 70 } $

        $\boxed { \rho _{mixture}=1.11\quad g/cc } $

With the increase in temperature, the density of a substance, in general, ____________.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. increases

  2. decreases

  3. first increase then decreases

  4. first decrease then increases

Show answer
Correct Option: B
Explanation:

Due to increase in temperature, objects vibrational energy increases resulting in decrease in density of the substance.

If the mass of a body is $12.1  g$ and the density is $2.2  {g}/{cc}$, its volume is

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. $5.5 {cm}^{3}$

  2. $8 cc$

  3. $11 cc$

  4. $55 cc$

Show answer
Correct Option: A
Explanation:

 Density = $\dfrac {mass}{volume}$ 


 so volume =$\dfrac{mass}{density}$

hence volume =$\dfrac{12.1}{2.2} =5.5cc$

hence option (A) is correct

The density of a body is represented by the expression :

Where V is the volume and M is the mass of a body

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. $D=\dfrac{V}{M}$

  2. D=M $ \displaystyle \times $ V

  3. $ D = \dfrac{1}{M \times V}$

  4. $ D = \dfrac{M}{V}$

Show answer
Correct Option: D
Explanation:
The density of a body is defined as the amount of mass contained per unit volume of the body.
Density = $\dfrac{mass}{volume}$ = $\dfrac{M}{V}$

so option (D) is correct

In order to find the density of a solid we have to first know its :

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. mass and area

  2. weight and area

  3. shape and volume

  4. mass and volume

Show answer
Correct Option: D
Explanation:
The density of a body is defined as the amount of mass contained per unit volume of the body.

$density=mass/volume$
So, we need mass and volume to find the density.

Equal volumes of iron and aluminum have different masses because they have different _________ .

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. shapes

  2. densities

  3. lengths

  4. times

Show answer
Correct Option: B
Explanation:

If volume of iron = Volume of aluminium

then mass of iron > mass of aluminium
$\rho _{iron}\times V _{iron} > \rho _{aluminium}\times V _{aluminium}$
$\rho _{iron} > \rho _{aluminium}$

 The C.G.S. unit of density is g/$\displaystyle cm^{3}$ 

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: A
Explanation:

density of a substance is the characterstic property of material defined as mass per unit volume of the substance hence in CGS system its unit is gm/cc.

_______is the characteristic property of a substance.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. Density

  2. Velocity

  3. Temperature

  4. Displacement

Show answer
Correct Option: A
Explanation:

Density of a substance is a characterstic property of a substance defined as mass of the substance per unit volume.

density = $\dfrac { mass\quad of\quad the\quad substance }{ volume\quad of\quad the\quad substance } $

Equal volumes of water and kerosene have equal masses. True or false.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

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Correct Option: B
Explanation:

The mass of the water and kerosene depends on the volume and the density of the each. Since the water and kerosene have different densities, they will have different mass for the same volumes.


Therefore, the given statement is false.

Density of a body depends on its shape and size. True or false.

chemistry substances in the surroundings - their states and properties measurement of density properties of substances fundamental and derived units

  1. True

  2. False

Show answer
Correct Option: B
Explanation:

Density of a liquid is a characterstic property of a substance & it is independent of any other external factors like volume etc.