A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of 3 7 . 0 ∘ C . As it does so, it absorbs 208 J of heat. The values of q and w for the process will be (R = 8.314 J/mol K) (ln7.5 = 2.01)

q = + 2 0 8 J , w ⁡ = - 2 0 8 J

q = + 2 0 8 J , w ⁡ = + 2 0 8 J

q = - 2 0 8 J , w ⁡ = - 2 0 8 J

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'a' and 'b' are Van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because

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Important Questions on States of Matter

HARD

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

An ideal gas undergoes isothermal compression from

5 m^{3}

1 m^{3}

against a constant external pressure of

4 N m^{- 2}

. The heat released in this process is

24 J {mol}^{- 1} K^{- 1}

and is used to increase the pressure of

1

mole of

Al

. The temperature of

Al

increases by:

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Given, van der Waal's constant for

{NH}_{3}, H_{2}, O_{2}

and

{CO}_{2}

are respectively

4.17, 0.244, 1.36 and 3.59

. Which one of the following gases is most easily liquefied?

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

The qualitative sketches I, II and III given below show the variation of surface tension with molar concentration of three different aqueous solutions of KCl,

C H_{3} O H

and

C H_{3} {(C H_{2})}_{11} O S O_{3}^{-} N a^{+}

at room temperature. The correct assignment of the sketches is -

Question Image

HARD

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

The above

P - V

diagram represents the thermodynamic cycle of an engine, operating with an ideal mono-atomic gas. The amount of heat, extracted from the source in a single cycle, is:

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Given below are two statement : one is labelled as Assertion $A$ and the other is labelled as Reason $R$ .
Assertion $A : {SO}_{2} (g)$ is adsorbed to a large extent than $H_{2} (g)$ on activated charcoal.

Reason $R$ : ${SO}_{2} (g)$ has a higher critical temperature than $H_{2} (g)$

In the light of the above statements, choose the most appropriate answer from the options given below.

HARD

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

A reversible cyclic process for an ideal gas is shown below. Here,

P, V, a n d T

are pressure, volume and temperature, respectively. The thermodynamic parameters

q, w, H a n d U

are heat, work, enthalpy and internal energy, respectively.

Question Image

The correct option(s) is (are)

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

A piece of ice falls from a height

h

so that it melts completely. Only one-quarter of the heat produced is absorbed by the ice and all energy of ice gets converted into heat during its fall. The value of

h

is:
(Latent heat of ice is

3.4 \times 10^{5} {J kg}^{- 1}

and

g = 10 {N kg}^{- 1}

)

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Calculate the work done during compression of

2

mol of an ideal gas from a volume of

1 m^{3}

10

{dm}^{3}

300 K

against a pressure of

100 kPa

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Given the critical temperature and critical pressure of

{CO}_{2}

gas are

30 ° C

and

72 atm

respectively, find the approximate values of Van der Waals constants

' a'

(in

L^{2} .

atm.

{mol}^{- 2}

) and

' a'

(in L.

{mol}^{- 1}

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Among the following gases, the order of liquefiability is
a) ${SO}_{2}$
b) ${CO}_{2}$
c) ${CH}_{4}$
d) ${NH}_{3}$

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

A piston filled with 0.04 mol of an ideal gas expands reversibly from 50.0 mL to 375 mL at a constant temperature of

37 . 0^{\circ} C

. As it does so, it absorbs 208 J of heat. The values of q and w for the process will be
(R = 8.314 J/mol K) (ln7.5 = 2.01)

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

According to Andrews isothermal at what temperature the carbon dioxide gas starts to condense at

73

atmosphere?

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

A system consisting of 1 mol of an ideal gas undergoes a reversible process,

A \to B \to C \to A

(schematically indicated in the figure below). If the temperature at the starting point A is 300 K and the work done in the process

B \to C

is 1 L atm, the heat exchanged in the entire process in L atm is

Question Image

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

The combination of plots which does not represent isothermal expansion of an ideal gas is

$(A)$ Question Image

$(B)$

$(C)$

$(D)$

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

The work done during combustion of

9 \times 10^{- 2}

kg

of ethane,

C_{2} H_{6} (g)

300 K

is (Given

R = 8 .314 {JK}^{- 1} {mol}^{- 1}

, atomic mass

C = 12, H = 1

)

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

A gas undergoes change from state

A

to state

B

. In this process, the heat absorbed and work done by the gas is

5 J and 8 J

, respectively. Now gas is brought back to

A

by another process during which

3 J

of heat is evolved. In this reverse process of

B to A

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

X g

of ice at

0^{o} C

is added to 340g of water at

20^{o} C

. The final temperature of the resultant mixture is

5^{o} C

. The value of

X

(in g) is closest to

[Heat of fusion of ice

= 333 J / g

; Specific heat of water

= 4.184 J / g . K

]

EASY

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Which of the following gases can be absorbed in more proportion?

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

The critical temperatures of four gases

K, L, M

and

N

are

154.3 K, 5.3 K, 33.2 K

and

126 K

respectively. Which of these gases will liquify first if they start cooling from

500 K

to their critical temperatures?

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquifaction of Gases

Consider the van der Waal's constants,

a

and

b,

for the following gases.

Gas	$A r$	$N e$	$K r$	$X e$
$a / (a t m d m^{6} m o l^{- 2})$	$1.3$	$0.2$	$5.1$	$4.1$
$b / (10^{- 2} d m^{3} m o l^{- 1})$	$3.2$	$1.7$	$1.0$	$5.0$

Which gas is expected to have the highest critical temperature?

'a' and 'b' are Van der Waals' constants for gases. Chlorine is more easily liquefied than ethane because

Important Questions on States of Matter

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