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

EASY

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Under critical conditions, the compressibility factor for a gas is -

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Important Questions on States of Matter

HARD

Chemistry>Physical Chemistry>States of Matter>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction 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>Liquefaction of Gases

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

MEDIUM

Chemistry>Physical Chemistry>States of Matter>Liquefaction 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>Liquefaction 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?

Under critical conditions, the compressibility factor for a gas is -

Important Questions on States of Matter

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