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11 December, 20:21

If the same large amount of heat is added to a 250 g piece of aluminum and a 150 g piece of aluminum, what will happen?

The 150 g Al will reach a higher temperature.

The 250 g Al will reach a higher temperature.

There will be no significant change in the temperature of either sample.

Both samples will reach the same final temperature.

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  1. 11 December, 20:30
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    The 150 g Al will reach a higher temperature.

    Explanation:

    The amount of heat added to a substance (Q) can be calculated from the relation:

    Q = m. c.ΔT.

    where, Q is the amount of heat added,

    m is the mass of the substance,

    c is the specific heat of the substance,

    ΔT is the temperature difference (final T - initial T).

    Since, Q and c is constant, ΔT will depend only on the mass of the substance (m).

    ∵ ΔT is inversely proportional to the mass of the substance.

    ∴ The piece with the lowest mass (150.0 g) will reach a higher temperature than that of a higher mass (250.0 g).

    So, the right choice is: The 150 g Al will reach a higher temperature.
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