supose at 20 degree celsius the resistance of Tungsten thermometer is 154.9. WHen placed in a particular solution , the resistance is 207.4

Question

supose at 20 degree celsius the resistance of Tungsten thermometer is 154.9. WHen placed in a particular solution , the resistance is 207.4 What is the temerature (in degree Celsius of this solution

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Jezebel 4 years 2021-08-14T18:18:01+00:00 1 Answers 11 views 0

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  1. Delwyn
    0
    2021-08-14T18:19:36+00:00
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    Answer:

    T₂ = 95.56°C

    Explanation:

    The final resistance of a material after being heated is given by the relation:

    R’ = R(1 + αΔT)

    where,

    R’ = Final Resistance = 207.4 Ω

    R = Initial Resistance = 154.9 Ω

    α = Temperature Coefficient of Resistance of Tungsten = 0.0045 °C⁻¹

    ΔT = Change in Temperature = ?

    Therefore,

    207.4 Ω = 154.9 Ω[1 + (0.0045°C⁻¹)ΔT]

    207.4 Ω/154.9 Ω = 1 + (0.0045°C⁻¹)ΔT

    1.34 – 1 = (0.0045°C⁻¹)ΔT

    ΔT = 0.34/0.0045°C⁻¹

    ΔT = 75.56°C

    but,

    ΔT = Final Temperature – Initial Temperature

    ΔT = T₂ – T₁ = T₂ – 20°C

    T₂ – 20°C = 75.56°C

    T₂ = 75.56°C + 20°C

    T₂ = 95.56°C

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