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20 July, 02:17

A nuclear reactor generates 1.0GW of power. About how much mass does it lose

per day?

a) 10^3 kg

b) 10^9 kg

c) 10^-8 kg

d) 10^-3 kg

+2
Answers (1)
  1. 20 July, 04:03
    0
    Option (d) 10^-3 kg

    Explanation:

    Step 1:

    Data obtained from the question. This includes the following:

    Power (P) = 1 GW = 1x10^9 W

    Time (t) = 1 day = 1 x 24 x 60 x 60 = 86400 secs

    Mass (m) = ?

    Step 2:

    Determination of the energy generated by the nuclear reactor. This is illustrated below:

    Energy (E) = Power (P) x time (t)

    E = 1x10^9 x 86400

    E = 8.64x10^13 J

    Step 3:

    Determination of the mass lose per day.

    The mass lose per day can be obtained by applying the following equation:

    E = MC^2

    Where:

    E is the energy = 8.64x10^13 J

    C is the velocity of light = 3x10^8 m/s

    M is the mass = ... ?

    E = MC^2

    M = E/C^2

    M = 8.64x10^13 / (3x10^8) ^2

    M = 10x10^-4 Kg = 1x10^-3 kg

    Therefore, the mass lose per day is 1x10^-3 kg
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