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Graph for Boyle's law is called
  • a)
    isotherm
  • b)
    hypertherm
  • c)
    hypotherm
  • d)
    none
Correct answer is option 'A'. Can you explain this answer?

Rohan Singh answered
Boyle's law: Graph between P and V at constant temperature is called isotherm and is an equilateral (or rectangular) hyperbola. By plotting P versus 1/V, this hyperbola can be converted to a straight line.

A vessel contains 0.5 mole each of SO2, H2 and CH4.  Its outlet was made open and closed after some time. Thus, order of partial pressure inside the vessel will be
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

From Graham's law of diffusion, the rate of diffusion of a gas through a slit or any outlet or inlet in a container, is inversely proportional to the molecular weight of the gas.
So , for a definite time (say t), SO2 will diffuse in the least amount through the outlet as it has highest mass among the three. Similarly the next in the increasing order will be CH4 and finally the last one is H2 will diffuse in the most amount.
Thus, the final amount of gases in the container are in the order SO2 > CH4 > H2.
It's clear that more the amount of the gas, more is its partial pressure.
So, the correct order is P(SO2) > P(CH4) > P(H2)

 Use of hot air balloons is an application of:
  • a)
    Gay Lussac’s law
  • b)
    Avogadro’s law
  • c)
    Charles’ law
  • d)
    Boyle’s law
Correct answer is option 'C'. Can you explain this answer?

Riya Banerjee answered
The relationship between the temperature and volume of a gas, which is known as Charles' law, provides an explanation of how hot-air balloons work.

Consider the reaction, 2X(g) + 3Y(g) → Z(g)
Where gases X and Y are insoluble and inert to water and Z form a basic solution. In an experiment 3 mole each of X and Y are allowed to react in 15 lit flask at 500 K. When the reaction is complete, 5L of water is added to the flask and temperature is reduced to 300 K. The pressure in the flask is (neglect aqueous tension)
  • a)
    1.64 atm                     
  • b)
    2.46 atm              
  • c)
     4.92 atm
  • d)
     3.28 atm
Correct answer is option 'B'. Can you explain this answer?

Mira Joshi answered
The reaction is 
2X(g) + 3Y(g) → Z(g)
2 moles of X reacts with 3 moles of Y to form 1mole of Z.
Now 3 moles of X and 3 moles of Y are present in the flask. Y is the limiting reagent. (Tocheck LR, divide the no of moles by stoichiometric coff. of that element. The least value will be LR)
After reaction, 1 mole of X is remaining and 1 mole of Z is formed, X is insoluble in water whereas Z is soluble in water.
Thus, the pressure in the flask is due to 1 mole of X.
The total volume of the flask is 15 L. The volume of water is 5 L. Thus the volume of gas is 15-5 = 10L.
The ideal gas equation is pV = nRT
Hence ,
p = nRT/V = 1×0.0821×300/10
= 2.46 atm 

A capillary tube of uniform diameter contains gas samples A and B, separated by a short column of Hg, L mm in length. The ends are sealed. In horizontal position, the confined gases occupy 'a' mm and 'b' mm in length with a common unknown pressure (P). In vertical position, the lengths become respectively a' mm and b' mm. Then P is equal to
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Krishna Iyer answered
By ideal gas law: PV=nRT
For a particular gas since n and T are constant.  ⇒PV=Constant
⇒  For gas A
Pa=PAa′..............(i) (Here length (a) is directly proportional to volume. Hence it can be used in place of volume.)
⇒ For gas B
Pb=PBb′.......(ii)
Since gas B is supporting l length of mercury over it in addition to gas A
⇒PB=PA+ρgl..........(iii) ( ρ is the density of mercury)
Putting (iii) in (ii)
⇒Pb=(PA+ρgl)b′............(iv) 
Eliminating  PA
 from (i) and (iv)
⇒Pb=Pa/a′b′+ρglb′⇒Pba′−ab′)/a’=ρglb′
⇒P=ρgla′b′/ba’-ab’(in SI units) 
⇒P in mm of Hg =dP(in SI)/ρg
P(mmHg)=la′b′/ba′-ab′ = l/(b/b′) - (a/a′)
Thus (a) is the correct option

The slope of plot between pV and p at constant temperature is:
  • a)
    1
  • b)
    2
  • c)
    1/2
  • d)
    Zero
Correct answer is 'D'. Can you explain this answer?

Shreya Gupta answered
Slope of the plot between P and PV at constant temperature is zero. A plot of P v/s PV at constant temperature for a fixed mass of gas is a straight line parallel to the pressure axis. 

Compressibility factor for CO2 at 400 K and 71.0 bar is 0.8697. Molar volume of CO2 under these conditions is
  • a)
    22.4 L
  • b)
    2.24 L
  • c)
    0.41 L
  • d)
    19.5 L
Correct answer is option 'C'. Can you explain this answer?

Lohit Matani answered
We know that 
Z = pVobserved /RT
0.8697   =   71×0.987×Vobserved / 0.0821×400
Vobserved = 0.8697×0.0821×400/71×0.987
= 0.406 L or 0.41 L

Volume of an ideal gas is to be decreased by 10% by increase of pressure by x% under isothermal condition. Thus, x is
  • a)
    100/9
  • b)
    9/100
  • c)
    10
  • d)
    1/10
Correct answer is option 'A'. Can you explain this answer?

Neha Sharma answered
Applying Boyle 's law P1V1=P2V2 as temp is constant.
So let initial pressure =P initial volume =V 
Now final volume V2=V-10%of V =9V/10
PV=P2×9V/10 so P2=10P/9
Therefore increment in Pressure=P/9P×100%=100/9

Mass of gas is 300 gm and its specific heat at constant volume is 750J/kg K. if gas is heated through 75°C at constant pressure of 105 N/m2, it expands by volume 0.08 × 106 cm3. find CP/CV.
  • a)
    1.4
  • b)
     1.374
  • c)
     1.474
  • d)
    1.5
Correct answer is option 'D'. Can you explain this answer?

Krishna Iyer answered
Data given;
ΔT = 75 oC = 75 K
ΔV = 0.08 * 106 cm3 = 0.08 m3
Cv  = 750 J kg-1 K-1
m = 300 g = 0.300 kg
p  = 105 N m-2 = 100000 N m-2
The first law of thermodynamics;
   ΔU = Q – W
      Q = ΔU + W    ---- (1) 
   mCpΔT = mCvΔT + pΔV   ----- (2)
Dividing the above expression (2) with Cv , we get;
Cp / Cv = Cv / Cv + pΔV / mΔTCv
     Cp / Cv = 1 + pΔV / mΔTCv
     Cp / Cv = 1 + ([100000 N m-2 . 0.08 m3] /                 [0.300 kg . 75 K .750 J kg-1K-1])
      Cp / Cv = 1 + 0.474
      Cp / Cv = 1.474 ; After rounding it off we get,
               = 1.5 (appx)

Root mean square velocity (u) is dependent on temperature. Value of  is
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'B'. Can you explain this answer?

Krishna Iyer answered
The correct answer is option B
Root mean square is v=under root 3RT/M
so we simply do differentiation with respect to temperature DU/DT=D /DT 
So,
=  3R/2M

The value of universal gas constant R depends on:
  • a)
    Number of moles of gas
  • b)
    Units of volume and pressure
  • c)
    Volume of gas
  • d)
    Temperature of gas
Correct answer is option 'B'. Can you explain this answer?

Pooja Mehta answered
We have
R = PV/T
= 8.314JK^−1mol^−1
= 8.314x10^7ergK^−1mol^−1
= 2calK^−1mol^−1
= 0.0821litreatmK^−1mol^−1
Hence R depends on units of volume and pressure
Hence answer is (b)

The temperature in Celsius scale can be converted into Kelvin scale
  • a)
    By dividing it with 273
  • b)
    By subtracting 273.15 from it
  • c)
    By multiplying it with 273
  • d)
    By adding 273.15 to it
Correct answer is option 'D'. Can you explain this answer?

Krishna Iyer answered
To convert from Celsius to Kelvin you use the following formula:
Celsius temperature + 273.15 = Kelvin Temperature
For example:
26 °Celsius + 273.15 = 299.15 Kelvin
The Kelvin temperature scale was designed so that it starts at absolute zero. In Kelvin, absolute zero is equal to 0 degrees. In Celsius, absolute zero is equal to −273.15 degrees.
Therefore, you need to add 273.15 to the Celsius temperature to get to the Kelvin temperature.
Note: Kelvin does not use the degree symbol, °.

Density of an ideal gas at 298 K and 1.0 atm is found to be 1.25 kg m-3. Density of the gas at 1.5 atm and at 298 K is 
  • a)
    1.25 kg m-3
  • b)
    1.875 kg m-3
  • c)
    1.00 kg m-3
  • d)
    1.20 kg m-3
Correct answer is option 'B'. Can you explain this answer?

Lavanya Menon answered
We know ideal gas equation,
PV=nRT.
n= m(mass)/M(molecular weight).
PV=m/M RT.
PM=m/v RT.
density (d)=m(mass)/v (volume).
PM=dRT.
d=PM/RT.
here, density is directly proportional to pressure and inversely proportional to temperature...
d1/d2=P1 T2 / P2 T1.
1.25/d2= 1×298/1.5×298.
1.25/d2=1/1.5.
d2= 1.25×1.5.
d2=1.875

Bond energy of H2 gas is 104 kcal mol-1. The temperature at which average kinetic energy of gaseous H2 molecules is equal to energy required to dissociate the molecules into atoms, is
  • a)
    34620 K
  • b)
    34893 K
  • c)
    31200 K
  • d)
    32723 K
Correct answer is option 'B'. Can you explain this answer?

Preeti Khanna answered
Bond energy is the energy to break bonds and convert the sample into atoms.
We know that, 
K.E of a mol of gas molecule = 3/2 RT
A/Q 3/2 RT = 104 kcal mol-1
3/2×8.314×T = 104×103 x 4.18 J
T = 34893 K

Select the correct statement(s).
  • a)
    Cohesive forces are the intermolecular forces between like molecules and adhesive forces are between unlike molecules
  • b)
    A drop maintains its shape if cohesive forces are stronger than adhesive forces
  • c)
    If cohesive forces are weak compared to adhesive forces, drop collapses and spreads into film
  • d)
    Cohesive forces in mercury, consiste of metallic bonds between atoms, are strong; thus it does not wet glass
Correct answer is option 'A,B,C,D'. Can you explain this answer?

Om Desai answered
a) True, cohesive forces are intermolecular forces between like molecules and adhesive forces between unlike molecules.
b) True, only due to cohesive force, all the molecules of droplets(which are like molecule) are attracted towards each other to form drop
c) True, if the cohesive force becomes weak as to adhesive forces, then there will be no force to bind water molecules and the drop will collapse and spread into film.
d) True, It's only due to cohesive force that mercury doesn’t wet the glass.

Rate of diffusion of LPG (mixture of n-butane and propane) is 1.25 times faster than that of SO3. Hence, mole fraction of n-butane in LPG is
  • a)
    0.75
  • b)
    0.25
  • c)
    0.51
  • d)
    0.87
Correct answer is option 'C'. Can you explain this answer?

Rahul Bansal answered
rLPG / rSO3  =  √(80/ MLPG) = 1.25

Therefore, 80/M = (1.25)2

 Therefore, MLPG  =  51.2

M =  (M1(butane ) X1 + M2(propane)X2)  / (X1 + X2)

51.2 = 58X1 + 44(1-X1) / 1

X1 ≈ 0.51

At 298 K, which of the following gases has the lowest average molecular speed?
  • a)
    CO2 at 0.20 atm
  • b)
    He at 0.40 atm
  • c)
    CH4 at 0.80 atm
  • d)
    NO at 1.00 atm
Correct answer is option 'A'. Can you explain this answer?

Preeti Iyer answered
Under the same conditions the average kinetic energy of the gases should be equal.
speed of gas1/speed of gas 2 = square root of (molar mass of gas2/molar mass of gas 1)
So gases with small molar mass will move quicker
eg speed of N2/speed of CO2 = sq. rt (44/28) = 1.25
speed of N2/speed of F2 = sq rt. (38/28) = 1.16
So order is N2, F2 and CO2
then we concluded right ans. is (A)

A student forgot to add the reaction mixture to the round bottomed flask at 27 °C but instead he/she placed the flask on the flame. After a lapse of time, he realized his mistake, and using a pyrometer he found the temperature of the flask was 477 °C. What fraction of air would have been expelled out?
  • a)
    3/5
  • b)
    1/ 2
  • c)
    3/ 7
  • d)
    none
Correct answer is option 'A'. Can you explain this answer?

Shreya Gupta answered
Let the volume of  air in the  flask at 27 degree C be V1 & that of the same amount of the gas at 477 degree C be V2.
According to charle’s law
V2/T2  =  V1/ T1   …………………(1)
NOW  volume of gas expelled out = V2 – V1, THEN
Fraction of the gas expelled out = (V2 – V1 ) / V2 = 1- (V1/ V2)     …………….(2)
Also from equation (1)  V1/ V2 = T1/ T2   …………..(3)
Substituting the values of (3) in (2), we get
Fraction of the air expelled  = 1- T1/ T2 = (T2 – T1)/ T2
= 750- 300 /750 = 0.6
Hence, fraction of air expelled out is 0.6 or 3/5 th

he number of elements that exists in gaseous state under normal atmospheric conditions is
  • a)
    15
  • b)
    10
  • c)
    5
  • d)
    11
Correct answer is option 'D'. Can you explain this answer?

Hansa Sharma answered
A look at the periodic table shows us that there are 11 elements in the table that exist in the gaseous state at room temperature. These elements are Hydrogen, Helium, Nitrogen, Oxygen, Fluorine,  Chlorine, Neon, Argon, Krypton, Xenon, and Radon.

At what temperature (in °C) root mean square velocity of O2 gas at 300 K is equal to most probable velocity of Ne(20 g mol-1)?
    Correct answer is '8'. Can you explain this answer?

    Preeti Khanna answered
    Vrms = √(3RT/M)
    Vmp 0= √(2RT/M)
    Putting corresponding values,
    3×300/32 = 2×T/20
    On solving, we get T = 281.5K
    T in °C = 281.5-273 = 8.1 °C = 8

    Mathematical expression that describes Boyle's law is
    • a)
      PV = constant
    • b)
      V * constant = P
    • c)
      P * constant = V
    • d)
      V ⁄ P = constant
    Correct answer is option 'A'. Can you explain this answer?

    BOYLE'S LAW
    At a constant temperature,volume of a definite mass of gas is inversely proportional to its pressure. hence, if P is the pressure and V is the volume, then P x V is a constant.

    In comparing gases with liquids , gases have ........ compressibility and...........density.
    • a)
      greater, smalle
    • b)
      greater, greater
    • c)
      smaller, smaller
    • d)
      smaller, greater
    Correct answer is option 'A'. Can you explain this answer?

    Neha Patel answered
    In a gas, the distance between molecules, whether monatomic or polyatomic, is very large compared with the size of the molecules; thus gases have a low density and are highly compressible.Density: The molecules of a liquid are packed relatively close together. Consequently, liquids are much denser than gases.

    Hydrogen bonding reduces the quality of water molecules to
    • a)
      repel
    • b)
      attract
    • c)
      compactly arrange
    • d)
      slide over each other
    Correct answer is option 'D'. Can you explain this answer?

    Shreya Gupta answered
    Hydrogen bonding is a type of attractive force that occurs between molecules when a hydrogen atom is covalently bonded to a highly electronegative atom, such as oxygen, nitrogen, or fluorine. In water molecules, hydrogen bonding occurs between the positively charged hydrogen atoms of one water molecule and the negatively charged oxygen atoms of another water molecule. These hydrogen bonds cause the water molecules to attract each other and stick together, which gives water many of its unique properties, such as its high surface tension and its ability to act as a solvent. The hydrogen bonds do not cause the water molecules to repel each other or to compactly arrange, but they do make it more difficult for the molecules to slide over each other, which contributes to the high viscosity of water.

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