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6. A 15.53 kg bag of soil falls 5.50 m at a construction site. If all the energy is retained by the soil in the bag, how much will its temperature increase

Respuesta :

onyebuchinnaji

The increase in the temperature of the soil when bag fall from the given height is 0.065 ⁰C.

The given parameters:

  • mass of the bag, m = 15.53 kg
  • height of fall, h = 5.5 m
  • specific heat capacity of soil, C = 0.200 kcal/kg ⁰C

Apply the principle of conservation of energy as follows;

[tex]mgh = mC \Delta T\\\\gh = C \Delta T\\\\\Delta T= \frac{gh}{C}[/tex]

Convert the value of C in kcal/kg ⁰C  to  J/kg ⁰C

1 kcal = 4180 J

[tex]0.200 \ kcal/kg ^0 C= 0.2 \times 4180 (J/kg ^0C) = 836 \ J/kg^0 C[/tex]

The increase in the temperature of the soil is calculated as follows;

[tex]\Delta T= \frac{gh}{C}\\\\\Delta T= \frac{9.8 \times 5.5}{836} \\\\\Delta T= 0.065 \ ^0C[/tex]

Learn more about conservation of energy here: https://brainly.com/question/166559

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