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4 October, 12:42

How much energy is needed to heat 3 kg of water through the following changes?

1. Heat 3 kg ice from - 10 C to 0 C

2. Melt 3 kg ice at 0 C

3. Heat 3 kg water from 0 C to 100 C

4. Vaporize 3 kg water at 100 C

5. Heat 3 kg steam from 100 C to 110

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Answers (2)
  1. 4 October, 14:03
    0
    Hello there.

    How much energy is needed to heat 3 kg of water through the following changes?

    1. Heat 3 kg ice from - 10 C to 0 C

    62.7 kJ
  2. 4 October, 14:49
    0
    1. Heat 3 kg ice from - 10 C to 0 C

    is sensible heating so

    Q = m cp (T2 - T1)

    Q = 3 kg (2.09 kJ/kg C) (0 - (-10)) C

    Q = 62.7 kJ

    2. Melt 3 kg ice at 0 C

    requires latent heat so,

    Q = m Hfus

    Q = 3 kg (333.55 kJ/kg)

    Q = 1000.65 kJ

    3. Heat 3 kg water from 0 C to 100 C

    requires

    Q = 3 kg (4.18 kJ/kg C) (100 - 0) C

    Q = 1254 kJ

    4. Vaporize 3 kg water at 100 C

    requires latent heat, so

    Q = m Hvap

    Q = 3 kg (2258.33 kJ/kg)

    Q = 6775 kJ

    5. Heat 3 kg steam from 100 C to 110

    requires

    Q = 3 kg (2.02 kJ/kg C) (110 - 100) C

    Q = 60.6 kJ
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