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3 July, 09:55

A 126-gram sample of titanium metal is heated from 20.0°C to 45.4°C while absorbing 1.68 kJ of heat. What is the specific heat of titanium?

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  1. 3 July, 13:28
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    The specific heat for the titanium metal is 0.524 J/g°C.

    Explanation:

    Given,

    Q = 1.68 kJ = 1680 Joules

    mass = 126 grams

    T₁ = 20°C

    T₂ = 45.4°C

    The specific heat for the metal can be calculated by using the formula

    Q = (mass) (ΔT) (Cp)

    Here, ΔT = T₂ - T₁ = 45.4 - 20 = 25.4°C.

    Substituting values,

    1680 = (126) (25.4) (Cp)

    By solving,

    Cp = 0.524 J/g°C.

    The specific heat for the titanium metal is 0.524 J/g°C.
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