Thermal Properties of Matter Test

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Thermal Properties of Matter Test - 59

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Question 1
1 / -0

If for hydrogen $$ C_{p}-C_{v}=m $$ and for nitrogen $$ C_{p}-C_{v}= $$ $$ n, $$ where $$ C_{p} $$ and $$ C_{v} $$ refer to specific heats per unit mass respectively at constant pressure and constant volume, the relation between $$ m $$ and $$ n $$ is (molecular weight of hydrogen $$ =2 $$ and molecular weight of nitrogen $$ =14 $$ )

A
$$n=14m$$

B
$$n=7m$$

C
$$m=7n$$

D
$$m=14n$$

Solution

c. $$ C_{p}-C_{v}=\mathrm{m}, $$ for hydrogen $$ \left(M_{1}=2\right) $$

$$ C_{p}-C_{v}=n, $$ for nitrogen $$ \left(M_{2}=14\right) $$

For hydrogen, $$ \quad C_{p}-C_{v}=\dfrac{1}{M_{1}} \dfrac{d Q}{d T}=m $$

For nitrogen, $$ \quad C_{p}-C_{v}=\dfrac{1}{M_{2}} \dfrac{d Q}{d T}=n $$

$$\therefore \quad \dfrac{m}{n}=\dfrac{\dfrac{1}{M_{1}} \dfrac{d Q}{d T}}{\dfrac{1}{M_{2}} \dfrac{d Q}{d T}}=\dfrac{M_{2}}{M_{1}}=\dfrac{14}{2}=7$$

$$\therefore m=7n$$
Question 2
1 / -0

An immersion heater, in an insulated vessel of negligible heat capacity, brings 100 g of water to the boiling point from $$16^{0}C$$ in 7 min. Then
The heat of vaporization of alcohol is

A
$$854 J/kg$$

B
$$ 854 \times 10^{3} J/kg$$

C
$$204 cal/g$$

D
$$204 cal/kg$$

Solution

$$Q''_a=P\times t_{3}=84\times(60\times 5+6)=84\times 306J$$
$$Q''_a=mL=30L$$
$$\Rightarrow L=\dfrac{84\times 306}{30}=854J/kg$$
$$=845\times 10^{3}J/kg$$
Question 3
1 / -0

Three rods of identical cross-sectional area and made from the same metal form the sides of an isosceles triangle ABC right angles at B. The points A and B are maintained at temperatures T and $$\sqrt{2}T$$, respectively, in the steady state. Assuming that only heat conduction takes place, temperature of point C

A
$$ \frac {3T} {\sqrt{2} + 1}$$

B
$$ \frac {T} {\sqrt{2} + 1}$$

C
$$ \frac {3T} {3(\sqrt{2} - 1)}$$

D
$$ \frac {T} {\sqrt{2} - 1}$$

Solution

As $$T_s > T_A$$, heat flows from B to A through both paths BA and BCA.

Rate of heat flow in BC = Rate of heat flow in CA
$$ \dfrac {KA(\sqrt{2}T - T_c)} {l} = \dfrac{KA(T_c - T)} {\sqrt{2}l} $$

Solving this, we get
$$T_c = \dfrac{3T} {\sqrt{2} +1}$$
Question 4
1 / -0

A marble tile would feel cold as compared to a wooden tile on a winter morning, because the marble tile

A
is a better conductor of heat than the wooden tile.

B
is polished while wooden tile is not polished.

C
Reflects more heat than wooden tile.

D
is a poor conductor of heat than the wooden tile.

Solution

The correct answer is option (a). The 'marble tile' is a good conductor of heat as compared to the 'wooden tile'.
Question 5
1 / -0

Choose the correct alternative:
In the process of convection, heat travels

A
sideways

B
downwards

C
upwards

D
in all direction

Solution

In the process of convection, heat travels upwards.
Question 6
1 / -0

$$S.I.$$ unit of temperature is:

A
calorie

B
Joule

C
Celsius

D
Kelvin

Solution

Through temperature is usually measured in Celsius, $$kelvin\ (K)$$ is the $$S.I.$$ unit.
Question 7
1 / -0

Absolute scale of temperature is reproduced in the laboratory by making use of a

A
Radiation pyrometer

B
Platinum resistance thermometer

C
Constant volume helium gas thermometer

D
Constant pressure ideal gas thermometer

Solution

Absolute scale of temperature is reproduced in the laboratory by making use of a Constant volume helium gas thermometer
Question 8
1 / -0

Absolute zero (0 K) is that temperature at which

A
Matter ceases to exist

B
Ice melts and water freezes

C
Volume and pressure of a gas becomes zero

D
None of these

Solution

We know that $$P = P_0 (1 + \gamma t)$$ a
nd $$V = V_0 (1 + \gamma t)$$
and $$\gamma = (1 / 273) /^\circ C$$ for
$$t = -273^\circ C,$$ we have $$P = 0$$ and $$V = 0$$
Hence, at absolute zero, the volume and pressure of the gas become zero.
Question 9
1 / -0

Water is cooled from $$4^oC$$ to $$0^oC$$ it:

A
Contracts

B
Expands

C
First contrast, then expands

D
First expands then contrast

Solution

Expansion of water occurs when water is cooled from $$4^oC$$ to $$0^oC$$ since density begins to decrease after attaining maximum value at $$4^oC$$ .
Question 10
1 / -0

Calories is the unit of

A
Heat

B
Work

C
Temperature

D
Food

Solution

Heat is measured in calorie. ($$1$$ cal $$=4.186\ J$$)

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Re-Attempt Weekly Quiz Competition

Thermal Properties of Matter Test - 59

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Thermal Properties of Matter Test - 59

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SHARING IS CARING

Question 1

$$n=14m$$

$$n=7m$$

$$m=7n$$

$$m=14n$$

Solution

Question 2

$$854 J/kg$$

$$ 854 \times 10^{3} J/kg$$

$$204 cal/g$$

$$204 cal/kg$$

Solution

Question 3

$$ \frac {3T} {\sqrt{2} + 1}$$

$$ \frac {T} {\sqrt{2} + 1}$$

$$ \frac {3T} {3(\sqrt{2} - 1)}$$

$$ \frac {T} {\sqrt{2} - 1}$$

Solution

Question 4

is a better conductor of heat than the wooden tile.

is polished while wooden tile is not polished.

Reflects more heat than wooden tile.

is a poor conductor of heat than the wooden tile.

Solution

Question 5

sideways

downwards

upwards

in all direction

Solution

Question 6

calorie

Joule

Celsius

Kelvin

Solution

Question 7

Radiation pyrometer

Platinum resistance thermometer

Constant volume helium gas thermometer

Constant pressure ideal gas thermometer

Solution

Question 8

Matter ceases to exist

Ice melts and water freezes

Volume and pressure of a gas becomes zero

None of these

Solution

Question 9

Contracts

Expands

First contrast, then expands

First expands then contrast

Solution

Question 10

Heat

Work

Temperature

Food

Solution

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