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States of Matter · Question 19

AIPMT 2012 (Mains)MCQMedium📈 Topic in 0% papers+4−1
1

For real gases van der Waals equation is written as (p + an2V2 )(V - nb) = nRT where a and b are van der Waals constants. Two sets of gases are (I) O2, CO2, H2 and He (II) CH4, O2 and H2 The gases given in set-I in increasing order of b and gases given in set-II in decreasing order of a, are arranged below. Select the correct order from the following

  1. (I) He < H2 < CO2 < O2 (II) CH4 > H2 > O2
  2. (I) O2 < He < H2 < CO2 (II) H2 > O2 > CH4
  3. (I) H2 < He < O2 < CO2 (II) CH4 > O2 > H2
  4. (I) H2 < O2 < He < CO2 (II) O2 > CH4 > H2

Answer

(3) (I) H2 < He < O2 < CO2 (II) CH4 > O2 > H2

Solution

Set II: 'a' measures the intermolecular attraction; it is larger for the gas that is more easily liquefied (larger, more polarisable molecule).

⇒ Decreasing order of a: CH4 > O2 > H2

(a in L2 bar mol-2: CH4 2.25, O2 1.36, H2 0.244)

Set I: 'b' is the excluded volume, which increases with molecular size.

⇒ O2 < CO2 are the largest two, while H2 and He, the smallest molecules, have the least b values.

∴ Only option (3) has set II in the correct order together with O2 < CO2 at the end of set I.

Answer: (3)

Out of syllabusAIPMT 2012 (Mains)

Keep practising — States of Matter

2

50 mL of each gas A and of gas B takes 150 and 200 seconds respectively for effusing through a pin hole under the similar conditions. If molecular mass of gas B is 36, the molecular mass of gas A will be

  1. 96
  2. 128.74
  3. 20.25
  4. 64.42
Out of syllabusAIPMT 2012 (Prelims)
3

A bubble of air is underwater at temperature 15 and the pressure 1.5 bar. If the bubble rises to the surface where the temperature is 25 and the pressure is 1.0 bar, what will happen to the volume of the bubble?

  1. Volume will become greater by a factor of 1.6.
  2. Volume will become greater by a factor of 1.1.
  3. Volume will become smaller by a factor of 0.70.
  4. Volume will become greater by a factor of 2.5.
Out of syllabusAIPMT 2011 (Mains)
4

By what factor does the average velocity of a gaseous molecule increase when the temperature (in Kelvin) is doubled?

  1. 2.0
  2. 2.8
  3. 4.0
  4. 1.4
Out of syllabusAIPMT 2011 (Prelims)
5

Two gases A and B having the same volume diffuse through a porous partition in 20 and 10 seconds respectively. The molecular mass of A is 49 u. Molecular mass of B will be

  1. 50.00 u
  2. 12.25 u
  3. 6.50 u
  4. 25.00 u
Out of syllabusAIPMT 2011 (Prelims)
6

A gaseous mixture was prepared by taking equal moles of CO and N2. If the total pressure of the mixture was found to be 1 atmosphere, the partial pressure of the nitrogen (N2) in the mixture is

  1. 0.5 atm
  2. 0.8 atm
  3. 0.9 atm
  4. 1 atm
Out of syllabusAIPMT 2011 (Prelims)
7

The pressure exerted by 6.0 g of methane gas in a 0.03 m3 vessel at 129 is (Atomic masses : C = 12.01, H = 1.01 and R = 8.314 J K-1 mol-1)

  1. 215216 Pa
  2. 13409 Pa
  3. 41648 Pa
  4. 31684 Pa
Out of syllabusAIPMT 2010 (Mains)
8

If a gas expands at constant temperature, it indicates that

  1. kinetic energy of molecules remains the same
  2. number of the molecules of gas increases
  3. kinetic energy of molecules decreases
  4. pressure of the gas increases
Out of syllabusAIPMT 2008
9

The surface tension of which of the following liquids is maximum ?

  1. C2H5OH
  2. CH3OH
  3. H2O
  4. C6H6
AIPMT 2005
10

Van der Waals real gas acts as an ideal gas at which conditions?

  1. High temperature, low pressure
  2. Low temperature, high pressure
  3. High temperature, high pressure
  4. Low temperature, low pressure
Out of syllabusAIPMT 2002
11

The beans are cooked earlier in pressure cooker because

  1. boiling point increases with increasing pressure
  2. boiling point decreases with increasing pressure
  3. extra pressure of pressure cooker softens the beans
  4. internal energy is not lost while cooking in pressure cooker
Out of syllabusAIPMT 2001

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