Chemistry
Grade-9
Easy

Question

At fixed temperature and 800mm pressure, the density of a gas is 40. At the same temperature and 400mm pressure, what is the density of the gas?

  1. 60
  2. 20
  3. 70
  4. 50

hintHint:

Use boyle's law.

The correct answer is: 20


    The correct option is b)20.
    According to the boyle's law Pressure is indirectly proportional to volume.
    Also density = fraction numerator m a s s over denominator v o l u m e end fraction
    Given,
    Initial pressure = P1=800 mm
    Initial density= D1=40
    Final pressure = P2 = 400 mm
    To find final density:

    Now, combining these both,
    P subscript 1 over D subscript 1 equals P subscript 2 over D subscript 2

    800 over 40 equals 400 over D subscript 2
20 space equals space 400 over D subscript 2
D subscript 2 space end subscript equals space 400 over 20
D subscript 2 space end subscript equals space 20

    The correct option is b)20.
    According to the boyle's law Pressure is indirectly proportional to volume.
    Also density = fraction numerator m a s s over denominator v o l u m e end fraction
    Given,
    Initial pressure = P1=800 mm
    Initial density= D1=40
    Final pressure = P2 = 400 mm
    To find final density:

    Now, combining these both,
    P subscript 1 over D subscript 1 equals P subscript 2 over D subscript 2

    800 over 40 equals 400 over D subscript 2
20 space equals space 400 over D subscript 2
D subscript 2 space end subscript equals space 400 over 20
D subscript 2 space end subscript equals space 20

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