MUMBAI / AKOLA / DELHI / KOLKATA / GHAZIABAD / NASHIK / GOA / BOKARO / PUNE
IIT – JEE: 2023
TIME: 1 Hr.
TW TEST (ADV)
TOPIC: GASEOUS STATE
DATE: 05/12/21
MARKS: 80
SINGLE CORRECT ANSWER TYPE
This section contains 5 multiple choice questions. Each question has 4 options (A), (B), (C) and
(D) for its answer, out of which ONLY ONE option can be correct.
Marking scheme: +4 for correct answer, 0 if not attempted and –1 in all other cases.
21.
A sample of gas occupies 100 mL at 27 o C and 740 mm pressure. When its volume is changed to
80 mL at 740 mm pressure, the temperature of the gas will be
(A) 21.6 o C
(B) 240 o C
(C) 33o C
(D) 89.5o C
22.
15 L of gas at STP is subjected to four different conditions of temperature and pressure as shown
below. In which case the volume will remain unaffected?
(A) 273 K, 2 bar pressure
(B) 273o C, 0.5 atm pressure
(C) 546 o C , 1.5 atm pressure
(D) 273o C and 2 atm pressure
23.
Which of the following expressions correctly represents the relationship between the average molar
kinetic energy, KE of CO2 and N2 molecules at the same temperature?
(A) KE CO  KE N2
(B) KE CO  KE N2
(C) KE CO  KE N2
(D) Cannot be predicted unless volumes of the gases are given
24.
A gaseous mixture contains oxygen and nitrogen in the ratio of 1:8 by mass. The ratio of their
respective number of molecules NO 2 : N H2 is

(A)
(B)
(C)
(D)

1:8
1:1
7 : 64
1:2
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25.
V vs T curves at different pressure P1 and P2 for an ideal gas are shown below:
Which one of the following is correct?
(A) P1  P2
(B) P1  P2
(C) P1  P2
(D) P2 / P1  1/ 2
MULTIPLE CORRECT ANSWER(S) TYPE
This section contains 10 multiple choice questions. Each question has 4 choices (A), (B), (C)
and (D) for its answer, out which ONE OR MORE is/are correct.
(+4, –2)
Partial Marks: +1 For darkening a bubble corresponding to each correct option. Provided NO
incorrect option is darkened. In all other cases, minus (–2) mark will be awarded in these parts.
For Example: If (A), (C)and (D)are all the correct options for a question, darkening all these
three will result in +4 marks; darkening only (A)and (D)will result in +2marks; and
darkening (A)and (B)will result in –2 marks, as a wrong option is also darkened.
26.
Which of the following statement is/are correct ?
(A) The van der Waals constant a is a measure of attractive force
(B) The van der Waals constant b is also called co-volume or excluded volume
(C) b is expressed in L mol1
(D) b is equal to the volume of actual molecules
27.
According to the kinetic theory of gases
(A) Pressure of a gas is due to collisions of molecules with each other
(B) Kinetic energy is proportional to square root of the temperature
(C) Pressure of a gas is due to collisions of molecules against the sides of the container
(D) There is no force of attraction between gas molecules
28.
If for two gases of molecular weights MA and M B at temperature TA and TB , respectively,
TA MB  TBMA , then which property has the same magnitude for both the gases?
(A)
(B)
(C)
(D)
PV if mass of gases taken are same
Pressure
KE per mole
Vrms
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29.
If 10 g of a gas at atmospheric pressure is cooled from 273o C to 0o C , keeping the volume constant,
its pressure would become
(A) 1/273 atm
(B) 2 atm
1
(C) atm
2
(D) 5.05 104 Nm2
30.
Which of the following statements is/are correct?
(A) All real gases are less compressible than ideal gases at high pressure
(B) Hydrogen and helium are more compressible than ideal gases for all values of pressure at room
temperature
 PV 
(C) Except H2 and He, the compressibility factor Z  
  1 for all gases at low pressure at
 nRT 
room temperature
(D) The compressibility factor of real gases is independent of temperature
31.
The root mean square velocity of an ideal gas in a closed container of fixed volume is increased from
5 104 cms1 to 10 104 cms1 . Which of the following statements correctly explains how the
change is accomplished?
(A) By heating the gas, the temperature is doubled
(B) By heating the gas, the pressure is quadrupled
(C) By heating the gas, the temperature is quadrupled
(D) By heating the gas, the pressure is doubled
32.
Boyle’s law may be expressed as
(A)
(B)
(C)
 dP / dV T  K / V
 dP / dV T  K / V2
 dP / dV T  K / V3
(D) V  1 / P
33.
Which of the following pair of gases will have same rate of diffusion under similar conditions ?
(A) H2 and He
(B) CO2 and N2O
(C) CO and C2H4
(D) NO and CO
34.
At very high pressure, the van der Waals equation reduces to
(A) PV  RT  Pb
aRT
(B) PV  2
V
RT
(C) P 
Vb
a
(D) PV  RT 
V
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35.
To which of the following mixtures Dalton’s law is not applicable?
(A) CO2 and CO at room temperature
(B) Ammonia and hydrogen chloride at room temperature
(C) NH3 and steam at room temperature
(D) He and H2
NUMERICAL VALUE TYPE
This section contains 5 questions. Each question is numerical value type. For each question,
enter the correct numerical value (in decimal notation, truncated/rounded-off to second
decimal place. (e.g. 6.25, 7.00, –0.33, –.30, 30.27, –127.30).
Marking scheme: +4 for correct answer, 0 if not attempted and 0 in all other cases.
36.
A certain gas is at a temperature of 350 K. If the temperature is raised to 700 K, the average
translational kinetic energy of the gas will increase by
37.
What is the ratio of rate of diffusion of gas A and B. The molecular mass of A is 11 and molecular
mass of B is 44.
38.
What is the average speed (in m/s) of a molecule, having a molecular mass of 529.5 g mol 1 . At
temperature 100 K (Round off to nearest integer)
39.
A 10 L box contains 41.4 g of a mixture of gases Cx H8 and Cx H12 . The total pressure at 44 o C in
flask is 1.56 atm. Analysis revealed that the gas mixture has 87% total C and 13% total H. Find out
the value of x. (Round off to nearest integer)
40.
The ratio of excluded volume (b) to molar volume of gas molecule is
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MUMBAI / AKOLA / DELHI / KOLKATA / GHAZIABAD / NASHIK / GOA / BOKARO / PUNE
IIT – JEE: 2023
TW TEST (ADV)
TOPIC: GASEOUS STATE
DATE: 05/12/21
Answer Key
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
40.
(C)
(D)
(A)
(C)
(B)
(ABC)
(CD)
(AD)
(CD)
(AC)
(BC)
(BD)
(BC)
(AC)
(BC)
(2.00 or 4350 to 4400)
(2.00)
(63)
(5.00)
(4.00)
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