Chemistry
Grade-9
Easy

Question

When the densities of two gases are in the ratio 1: 2 and their temperatures are in the ratio 2: 1, the pressure ratio is:

  1. 1:2
  2. 2:3

  3. 1:1

  4. 3:1

hintHint:

Use the gas law formula.

The correct answer is:

1:1


    The correct option is c)1:1.
    According to the gas law,
    PV=nRT     (density = fraction numerator m a s s over denominator v o l u m e end fraction)
    PV= fraction numerator W space over denominator v M end fraction R T
    PV = dRT

    d subscript a over d subscript b equals 1 half
T subscript a over T subscript b equals 2 over 1
fraction numerator begin display style fraction numerator d subscript a space end subscript R T subscript a over denominator M subscript a end fraction end style over denominator begin display style fraction numerator d subscript b R T subscript b over denominator M subscript b end fraction end style end fraction equals fraction numerator d subscript a T subscript a space end subscript M subscript b over denominator d subscript b T subscript b M subscript a end fraction
s u b s t i t u t i n g space t h e space v a l u e s comma
M subscript a over M subscript b equals space 1 half X 2 over 1
M subscript a over M subscript b equals space 1 colon 1

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