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15 April, 04:06

A silver bar of length 30 cm and cross-sectional area 1.0 cm2 is used to transfer heat from a 100°C reservoir to a 0°C block of ice.

How much ice is melted per second? (For silver, k = 427 J/s⋅m⋅°C. For ice, Lf = 334 000 J/kg.)

a. 4.2 g/s

b. 2.1 g/s

c. 0.80 g/s

d. 0.043 g/s

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  1. 15 April, 04:20
    0
    d. 0.043 g/s

    Explanation:

    Formula for rate of conduction of heat through a bar per unit time is as

    follows

    Q = k A (t₁ - t₂) / L

    A is cross sectional area and L is length of rod, (t₁ - t₂) is temperature

    difference. Q is heat conducted per unit time

    Putting the values in the equation

    Q = (427 x 1 x 10⁻⁴ x 100) / 30 x 10⁻²

    = 14.23 J/s

    mass of ice melted per second

    = Q / Latent heat of ice

    = 14.23 / 334000

    = 0.043 g/s
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