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2 years ago

The amount of heat needed to increase the temperature of a solid sphere of diameter 2D of the same metal from 4°C to 7°C

1 answer:

5 0

The amount of heat needed to increase the temperature of a solid sphere of diameter 2D of the same metal from 4°C to 7°C is is 8 times the initial amount of heat.

The temperature increment will lead to the increase in the internal energy of the object. This internal energy is the heat.

Given is the change in temperature ΔT = 7-4 =3°C., diameter D to 2D,

Q = Cp x ρ(4π/3)D³ x 3..................(1)

and Q' = Cp x ρ(4π/3)(2D)³ x 3

Q' = Cp x ρ(4π/3)8D³x 3..................(2)

Dividing both the equation, we have

Q' / Q =8

Q' = 8Q

Thus, the amount of heat needed to increase the temperature of a solid sphere of diameter 2D of the same metal from 4°C to 7°C is 8 times the initial amount of heat.

Learn more about heat.

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