Consider 500 g of silver (atomic mass 107 g/mol). Assume that the temperature is high enough that equipartition applies. We heat the silver

Question

Consider 500 g of silver (atomic mass 107 g/mol). Assume that the temperature is high enough that equipartition applies. We heat the silver by immersing it in water; by measuring the temperature change of the water we compute that 300 J of heat energy entered the silver.

What was the change in temperature of the silver?

A. 2.57 K
B. 0.6 K
C. 4.99 K
D. 169 K
E. 0.0466 K

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Thiên Thanh 2 months 2021-07-15T16:55:56+00:00 1 Answers 3 views 0

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    2021-07-15T16:57:33+00:00

    Answer:

    A. 2.57 K

    Explanation:

    From specific heat capacity,

    Q = cmΔT…………………… Equation 1

    Where Q = Amount of heat that entered into silver, m = mass of silver, c = specific heat capacity of silver, ΔT = change in temperature of the silver.

    make ΔT the subject of the equation

    ΔT = Q/cm………………. Equation 2

    Given: Q = 300 J, m = 500 g = 0.5 kg

    Constant: c = 233 J/kg.K

    Substitute into equation 2

    ΔT = 300/(0.5×233)

    ΔT  = 300/116.5

    ΔT = 2.57 K

    Hence the right option is A. 2.57 K

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