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All questions of Unit 2: Thermodynamics for Grade 9 Exam

Oxygen and nitrogen in two enclosures have the same mass, volume and pressure. The ratio of the temperature of oxygen to that of nitrogen is:
  • a)
    8/7
  • b)
    49/64
  • c)
    1
  • d)
    7/8
Correct answer is option 'A'. Can you explain this answer?

Neha Joshi answered
For same mass the ratio of moles of oxygen to that of nitrogen is 14:16 = 7:8
And we know that PV = nRT
Hence as V and P are also same, ratio of temperature of oxygen to that of nitrogen is inverse of the ratio of moles that is 8:7

Three moles of an ideal monoatomic gas is initially in the state A shown in the adjoining pressure-temperature graph. It is taken to state B without changing its pressure. If R is the universal gas constant, the work done by the gas in this process is 
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  • a)
    600 R
  • b)
    400 R
  • c)
    300 R
  • d)
    200 R
Correct answer is option 'A'. Can you explain this answer?

The work done by the gas in taking it from state A to state B = PΔV where ΔW is the increase in volume at constant pressure P. 
We have PV = μRT where p is the number of moles in the sample of the gas and R is the universal gas constant. 
Therefore we have PΔV = μR ΔT = 3 xR(450 - 250) = 600R 

Which one of the following quantities can be zero on an average for the molecules of an ideal gas in equilibrium?
  • a)
    Speed
  • b)
    Momentum
  • c)
    Kinetic Energy
  • d)
    Density
Correct answer is 'B'. Can you explain this answer?

Riya Banerjee answered
In case of ideal gases the average velocity is always zero. Hence the average momentum is zero. 
Whereas average speed is non- zero so the kinetic energy is also non-zero,  as these two are scalar quantities.

At absolute zero temperature may be defined as that temperature at which
  • a)
    Volume is maximum
  • b)
    Root mean square velocity of the gas molecule reduces to zero
  • c)
    Temperature is 273 K
  • d)
    Mass of molecules of gas is zero
Correct answer is option 'B'. Can you explain this answer?

Gaurav Kumar answered
At 0K temperature we know that there is no molecular motion, that is the KE of the particles gets 0. Thus we can say the combined KE of a gaseous system is zero, but as there combined mass cant be zero thus the combined of the square of velocities of the particles is zero, which means that the root mean square velocity of the gas is zero.

When the temperature goes up, the pressure inside a rigid container will _____.
  • a)
    remain unchanged
  • b)
    go down
  • c)
    cause particles to cool
  • d)
    go up
Correct answer is option 'D'. Can you explain this answer?

Vijay Bansal answered
The pressure law states that for a constant volume of gas in a sealed container the temperature of the gas is directly proportional to its pressure. This can be easily understood by visualising the particles of gas in the container moving with a greater energy when the temperature is increased.

The average kinetic energy of a molecule in an ideal gas is
  • a)
    proportional to the pressure
  • b)
    depends on the nature of the ideal gas
  • c)
    proportional to the absolute temperature of the gas
  • d)
    proportional to the volume
Correct answer is option 'C'. Can you explain this answer?

Priya Patel answered
SHOW THAT THE AVERAGE TRANSLATIONAL KINETIC ENERGY OF THE MOLECULES OF A GAS IS DIRECTLY PROPORTIONAL TO ABSOLUTE TEMPERATURE. kinetic energy of the molecules of a gas is directly proportional to absolute temperature.

The perfect gas equation is PV = nRT where n is the
  • a)
    mass of molecules
  • b)
    number of moles
  • c)
    number of molecules
  • d)
    number of atoms
Correct answer is option 'B'. Can you explain this answer?

Rajat Patel answered
In SI units, P is measured in pascals, V is measured in cubic metres, n is measured in moles, and T in kelvins (the Kelvin scale is a shifted Celsius scale, where 0.00 K = −273.15 degreeC, the lowest possible temperature). R has the value 8.314 J/(K. mol) ≈ 2 cal/(K. mol), or 0.08206 L.

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