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Gas Laws Test - 6

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Gas Laws Test - 6
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  • Question 1
    1 / -0
    Which of the following changes occurs when a constant volume of gas is heated?
    Solution
    According to kinetic theory, on heating a constant volume of gas, average kinetic energy of molecules and pressure will increase.
    Both pressure and kinetic energy are a function of temperature:
    P T
    This is Gay Lussac's law.
    At constant 'V',


    Also K.E =
  • Question 2
    1 / -0
    Which of the following is in accordance with Boyle's law for a given mass of dry gas at constant temperature?
    Solution







    Hence, when the pressure is tripled, the volume reduces to one-third.
  • Question 3
    1 / -0
    A gas occupies 600 cm3 at 900 mm Hg pressure. At what pressure will the gas occupy 450 cm3? (Assume that temperature remains constant.)
    Solution
    At a constant temperature:
    P1V1 = P2V2 (Boyle's law)
    600 900 = P2 450
    P2 = 600 2
    P2 = 1200 mm Hg
    1200 mm Hg = 120 cm Hg
    ∴ P2 = 120 cm Hg
  • Question 4
    1 / -0
    A gas occupies 800 cm3 under a pressure of 760 mm Hg. Under what pressure will the volume of the gas be reduced by 20% of its original volume? (Temperature remains constant.)
    Solution
    × 800 = 160
    New volume V2 = 800 – 160 = 640 cm3
    At a constant temperature:
    P1V1 = P2V2 (Boyle's law)
    800 760 = P2 640
    P2 = 950 mm Hg
  • Question 5
    1 / -0
    Two cylinders containing carbon dioxide are connected together by a tube fitted with a tap. The capacity of one cylinder is 3 dm3 and that of the other cylinder is 2 dm3; the pressure of the first cylinder is 550 mm Hg and that of the second cylinder is 800 mm Hg. What will be the final pressure in the cylinders on opening the tap? (Temperature remains constant.)
    Solution
    New volume = 2 + 3 = 5 times
    For the gas in the 1st cylinder,
    PV = P'V'
    550 3 = P' 5
    P' = 330 mm Hg
    For the gas in the 2nd cylinder,
    PV = P'V'
    800 2 = P'5
    P' = 320 mm Hg
    Final pressure in the two cylinders = 320 + 330 = 650 mm Hg
  • Question 6
    1 / -0
    At what temperature will the volume of a gas at 0°C be tripled? (Pressure remains constant.)
    Solution
    At a constant pressure:
    (Charles' Law)
    0°C = 273 K

    T2 = 273 3
    T2 = 819
    819 = °C + 273 = 546°C
  • Question 7
    1 / -0
    What will be the change in volume of a gas when it is heated from 0°C to 819°C under constant pressure?
    Solution
    0° = 273 K
    819°C = 1082 K
    At a constant pressure, applying Charles' Law:


    V2 = 4V1
    Four times
  • Question 8
    1 / -0
    What will be the volume of gas at absolute zero temperature under constant pressure?
    Solution
    0 K is considered as absolute zero and all gases cease to exist at this temperature, i.e. they liquefy much before they acquire this temperature.
    Going by Charles' Law, for every 1oC increase in temperature, the volume increases by of its value at 273 K.
    Let Vo be the volume of the gas at 273 K.

    V = Vo +

    V = Vo

    By putting t = - 273°C, we get

    V = 0
  • Question 9
    1 / -0
    A gas of volume 150 cm3 is taken at 27.3 K. The temperature is then changed to 0°C. What is the new volume of the gas, if pressure is kept constant throughout?
    Solution
    Charles' law,

    V/T = V1/T1



    V1 = 150 10

    V1 = 1500 cm3
  • Question 10
    1 / -0
    What will be the decrease in volume when 60 cm3 gas at 27°C is cooled to 12°C? (Pressure remains constant.)
    Solution
    According to Charles' law,
    T = 27 + 273 T1 = 12 + 273

    = 300 K = 285 K


    V1 = 57

    Decrease in volume = 60 - 57 = 3 cm3
  • Question 11
    1 / -0
    Which of the following represents the ideal gas equation?
    Solution
    According to the ideal gas equation,

  • Question 12
    1 / -0
    At what temperature will 500 cm3 of a gas at 20°C occupy half of its original volume?
    Solution
    T1 = 273 + 20°C = 293°C,

    V2 = = 250 cm3





    273 + t =

    t = 146.5 - 273

    t = - 126.5°C
  • Question 13
    1 / -0
    For a fixed mass of an ideal gas at constant temperature, which of the following is true?
    Solution
  • Question 14
    1 / -0
    The total energy of molecules of a gas at a given temperature depends on the
    Solution
    The total energy of molecules of a gas at a given temperature depends on the number of gaseous molecules.
  • Question 15
    1 / -0
    The Kelvin temperature of an ideal gas is
    Solution
    The Kelvin temperature of an ideal gas is proportional to the average kinetic energy of the molecules.

    K.E. =
  • Question 16
    1 / -0
    The density of ammonia at 27°C and 3 atm pressure is about
    Solution
  • Question 17
    1 / -0
    For a fixed mass of an ideal gas at constant pressure, which of the following statements is true?
    Solution
    According to Charles' law,

    V/T = constant

    Plot of V/T versus T will give a horizontal straight line with a zero slope.
  • Question 18
    1 / -0
    With increase in the value of pressure p, the plot of compressibility factor Z versus pressure p for an ideal gas at 0°C
    Solution
  • Question 19
    1 / -0
    According to kinetic theory, what is true about collision between gas molecules and with the container, respectively?
    Solution
    According to kinetic theory, collision between gas molecules are perfectly elastic, and they impart momentum to container wall.
  • Question 20
    1 / -0
    The volume of a given mass of a gas at 27°C is 100 cm3. To what temperature must the gas be heated so that the volume increases to 150 cm3?
    Solution
    According to Charles` law,
    T = 27 + 273

    T = 300 K



    T1 = 450 K
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