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Is Matter Around Us Pure

Question
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A bullet of mass ‘a’ and velocity ‘b’ is fired into a large block of mass ‘c’. The final velocity of the system is


    Solution

    Here,
    Mass of the bullet, m = 10 g = 0.01 kg
    Initial velocity, u = 150 ms-1
    Final velocity, v =0 m/s
    Time taken for the bullet to reach the target, t = 0.03 s
    The distance of penetration of the bullet into the block, 
    straight s space equals space ut plus 1 half at squared space space space space equals space 150 space cross times 0.03 space plus space 1 half cross times left parenthesis negative 5 comma 000 right parenthesis space cross times space left parenthesis 0.03 right parenthesis squared space space space equals 4.5 space minus space 2.25 space equals space 2.25 space straight m. space space 

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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

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    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?

    Pragya makes a saturated solution of potassium chloride in water at 353 K and leaves the solution to cool at room temperature. What would she observe as the solution cools? Explain.

    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


    Find the solubility of each salt at 293 K. Which salt has the highest solubility at this temperature?

    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


    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 is the effect of change of temperature on the solubility of a salt?

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    Colloid

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