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5 April, 21:13

Consider two identical rooms: one with a 2-kW electric resistance heater and the other with two couples fast dancing. Will the room with the couples fast dancing heat up faster than the room with 2-kW electric resistance heater? An average fast-dancing person dissipates 600 Cal/h of energy (sensible and latent).

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  1. 5 April, 22:06
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    No, the room with the dancing couple will heat up slower than the room with 3-KW electric resistance heater.

    Explanation:

    An average person dissipates 600 Cal/h of energy.

    Converting this to J/s (Watt)

    Power dissipated by an average person fast dancing = (600 Cal/h) (4.184 J/1Cal) (1 h/3600 s)

    Power dissipated by an average person fast dancing = 0.7 W

    Since, two persons are fast dancing in 2nd room. Therefore,

    Power dissipated in 2nd room = P2 = 0.7 W x 2

    Power dissipated in 2nd room = 1.4 W

    While, the power dissipation in 1st room due to heater is:

    P1 = 2 KW = 2000 W

    Since, P1 > P2

    Therefore, the room with the fast dancing couple will heat up slower than the room with heater.
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