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How many kilograms of sour cream should be added (stirred into the water) to 0.5 litres of water at T=80°C to cool the water to 40°C, which is the ideal temperature for soup if the temperature of the sour cream (sour cream 20%) before it is added to the soup is 5°C?

Sagot :

onyebuchinnaji

The mass of the sour cream that should be added is 0.68 kg.

Mass of the water

Mass of the water is calculated as follows;

mass = density x volume

  • density of water = 1 kg/L

mass = (1 kg/L) x 0.5 L = 0.5 kg

Conservation of energy

Heat gained by the sour cream = Heat lost by the water

[tex]m_s c_s\Delta \theta _s = m_wc_w\Delta \theta _w\\\\m_s = \frac{m_wc_w\Delta \theta _w}{c_s\Delta \theta _s} \\\\[/tex]

where;

  • Cs is specific heat of sour cream
  • Cw is specific heat of water
  • Δθ is change in temperature

[tex]m_s = \frac{0.5 \times 4184 \times (80 - 40)}{3510 \times (40 - 5)} \\\\m_s = 0.68 \ kg[/tex]

Learn more about heat capacity here: https://brainly.com/question/16559442

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