Thermal Properties of Matter Test

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Thermal Properties of Matter Test - 21

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Weekly Quiz Competition

Question 1
1 / -0

The lowest pressure (the best vaccum) that can be created in laboratory at $$20^{\circ}C$$ is $$10^{-10}\ mm$$ of $$Hg$$. At this pressure, the number of ideal gas molecules per $$cm^{3}$$ will be

A
$$3.22\times 10^{12}$$

B
$$1.61\times 10^{12}$$

C
$$3.29\times 10^{6}$$

D
$$3.22\times 10^{5}$$

Solution

For gaseous mixture at vaccum

$$P=10^{-10}mm=\dfrac{10^{-10}}{760}atm$$

$$V=10^{-3}\,litre$$

$$n=?$$

$$R=0.0821\,litre\,K^{-1}\,mol^{-1}$$

$$T=293\,K$$

$$PV=nRT$$

$$\therefore n=\dfrac{PV}{RT}=\dfrac{10^{-10}\times 10^{-3}}{760\times 0.0821 \times 293}=5.47 \times 10^{18}$$

$$\therefore$$ Number of molecule per $$mL=5.47 \times 10^{-18} \times 6.023 \times 10^{23}=3.29 \times 10^6\,molecule$$
Question 2
1 / -0

The S.I. unit of universal gas constant is

A
$$Watt K^{-1}mol^{-1}$$

B
$$ N K^{-1}mol^{-1}$$

C
$$JK^{-1}mol^{-1}$$

D
$$erg K^{-1}mol^{-1}$$

Solution

From the relation $$R = \dfrac{2\Delta U}{3 nT}$$
where $$\Delta U$$ is the change in internal energy, $$n$$ is number of moles of gas and $$\Delta T$$ is change in temperature.
We get the S.I. unit of universal gas constant is $$JK^{-1}mol^{-1}$$.
Question 3
1 / -0

Under which of the following conditions is the law $$pV=RT$$ obeyed most closely by a real gas?

A
High pressure and high temperature

B
Low pressure and low temperature

C
Low pressure and high temperature

D
High pressure and low temperature

Solution

At low pressure and high temperature real gases behaves like ideal gases.
Question 4
1 / -0

A piece of ice is floating in a jar containing water. When the ice melts, then the level of water :

A
Rises

B
Falls

C
Remains unchanged

D
Rises of Falls depending upon the mass of ice

Solution

The correct an option is C.
According to the Archimedes' principle, it states that the weight of water displaced will equal the upward buoyancy force provided by that water. In this case,

The weight of water displaced $$= m_{water displaced}g=ρVg=ρAhg$$
where V is the volume of water displaced, ρ is the density of water, A is the surface area of the glass and g is acceleration due to gravity.

Therefore, the upward buoyancy force acting on the ice is $$ρAhg$$.

Now, the downward weight of ice is $$m_{ice}g$$.

Now, because the ice is neither sinking nor floating, these must balance. That is:

$$ρAhg=m_{ice}g$$
Therefore,

$$h=\dfrac{m_ice}{ρA}$$
Now when the ice melts, this height difference due to buoyancy goes to 0. But now an additional mass mice of water has been added to the cup in the form of water. Since mass is conserved, the mass of ice that has melted has been turned into an equivalent mass of water.

The volume of such water added to the cup is thus:

$$V=m_{ice}ρ$$
and therefore,

$$Ah=\dfrac{m_{ice}}ρ$$
So,

$$h=\dfrac{m_{ice}}{ρA}$$
That is, the height the water has increased due to the melted ice is exactly the same as the height increase due to buoyancy before the ice had melted.
Question 5
1 / -0

Which of these does not require a medium ?

A
Conduction

B
Convection

C
Radiation

D
None of these

Solution

Radiation are electromagnetic waves that travel without any medium, Rest conduction and convection takes place in specific medium
Question 6
1 / -0

The table lists the melting points and the boiling points of four different substances. Which substance is a liquid at $${0}^{o}C$$?

A
melting point/$$^{o}C$$ : $$-219$$ ; boiling point/ $$^{O}C$$ : $$-183$$

B
melting point/$$^{o}C$$ : $$-7$$ ; boiling point/ $$^{O}C$$ : $$58$$

C
melting point/$$^{o}C$$ : $$98$$ ; boiling point/ $$^{O}C$$ : $$890$$

D
melting point/$$^{o}C$$ : $$1083$$ ; boiling point/ $$^{O}C$$ : $$2582$$

Solution

It is clear that the substance will be in liquid state above its melting point and below its boiling point.
So, the correct option is (B) as $$0^o C$$ is above its melting point$$(-7^oC)$$ and below its boiling point($$58^oC$$).
Question 7
1 / -0

What is the name of the process of heat transfer using electromagnetic waves?

A
Conduction

B
Convection

C
Evaporation

D
Radiation

Solution

Heat transfer is done by three ways conduction, convection and radiation. Radiation involves the energy transfer by electromagnetic radiations.
Question 8
1 / -0

How much heat energy in Joules is necessary to raise the temperature of $$5kg$$ of water from $${20}^{o}$$ to $${100}^{o}$$?

A
$$1672KJ$$

B
$$167200J$$

C
$$16720J$$

D
$$1672J$$

Solution

Given,
$$m=5kg=5,000g$$
$$\Delta T=100^0C-20^0C=80^0C$$

The magnitude of heat energy in joule is $$H$$
$$H=4.186\times 5000\times 80=1672400J$$
$$H=1672\times 10^3=1672KJ$$
The correct option is A.
Question 9
1 / -0

Which of the following gives evidence to kinetic theory of gases?

A
assumption of kinetic theory

B
Boyle's law

C
idea of mean free path

D
diffusion and evaporation

Solution

Boyle's law states that at constant temperature the volume of a given mass of dry gas is inversely proportional to its pressure as is evident from the kinetic theory of gases.
Question 10
1 / -0

The mode of transfer of heat which requires no medium, is called as:

A
Radiation

B
Conduction

C
Combusion

D
Convection

Solution

The process by which heat is transferred without the help of any material medium is called radiation.
As, radiation is the mode of heat transfer in which heat is radiated or transmitted from one place to another in the form of rays or waves.
Hence option A is the right answer

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Thermal Properties of Matter Test - 21

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Thermal Properties of Matter Test - 21

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Question 1

$$3.22\times 10^{12}$$

$$1.61\times 10^{12}$$

$$3.29\times 10^{6}$$

$$3.22\times 10^{5}$$

Solution

Question 2

$$Watt K^{-1}mol^{-1}$$

$$ N K^{-1}mol^{-1}$$

$$JK^{-1}mol^{-1}$$

$$erg K^{-1}mol^{-1}$$

Solution

Question 3

High pressure and high temperature

Low pressure and low temperature

Low pressure and high temperature

High pressure and low temperature

Solution

Question 4

Rises

Falls

Remains unchanged

Rises of Falls depending upon the mass of ice

Solution

Question 5

Conduction

Convection

Radiation

None of these

Solution

Question 6

melting point/$$^{o}C$$ : $$-219$$ ; boiling point/ $$^{O}C$$ : $$-183$$

melting point/$$^{o}C$$ : $$-7$$ ; boiling point/ $$^{O}C$$ : $$58$$

melting point/$$^{o}C$$ : $$98$$ ; boiling point/ $$^{O}C$$ : $$890$$

melting point/$$^{o}C$$ : $$1083$$ ; boiling point/ $$^{O}C$$ : $$2582$$

Solution

Question 7

Conduction

Convection

Evaporation

Radiation

Solution

Question 8

$$1672KJ$$

$$167200J$$

$$16720J$$

$$1672J$$

Solution

Question 9

assumption of kinetic theory

Boyle's law

idea of mean free path

diffusion and evaporation

Solution

Question 10

Radiation

Conduction

Combusion

Convection

Solution

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