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Is Matter Around Us Pure

Question
CBSEENSC9006592
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State the factors on which the speed of sound in a gas depends.

Solution

The speed of sound in a gas depends on the following factors:

(i) Effect of pressure: Pressure has no effect on the speed of sound in a gas.

(ii) Effect of density: At constant pressure, the speed of sound in a gas is inversely proportional to the square root of its density.
Speed space of space sound space proportional to space space fraction numerator 1 over denominator square root of Density space of space gas end root end fraction

(iii) Effect of humidity: Sound travels faster in moist air than in dry air.

(iv) Effect of temperature: The speed of sound in a gas is directly proportional to the square root of its absolute temperature.
Speed space of space sound space proportional to space space fraction numerator 1 over denominator square root of Absolute space temperature space of space gas end root end fraction

So, the speed of sound increases with the increase in temperature of the gas.
For example, the speed of sound in air is 331 ms–1 at 0°C and 344 ms–1 at 22°C.

(v) Effect of wind: Sound is carried by air, so the speed of sound increases when the wind blows in the direction of sound and speed of sound decreases when the wind blows in the opposite direction of sound.

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Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Substance Dissolved

Temperature in K

283

293

313

333

353

Potassium nitrate

21

32

62

106

107

Sodium chloride

36

36

36

37

37

Potassium chloride

35

35

40

46

54

Ammonium chloride

24

37

41

55

66


What mass of potassium nitrate would be needed to produce a saturated solution of potassium nitrate in 50 grams of water at 313 K?

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