If an amount of heat Q is needed to increase the temperature of a solid metal sp

Question

If an amount of heat Q is needed to increase the temperature of a solid metal sphere of diameter D from 5.00 degrees C to 9.00 degrees C, the amount of heat needed to increase the temperature of a solid sphere of diameter 2.00 D of the same metal from 5.00 degrees C to 9.00 degrees C is
If an amount of heat is needed to increase the temperature of a solid metal sphere of diameter from 5.00 to 9.00, the amount of heat needed to increase the temperature of a solid sphere of diameter 2.00 of the same metal from 5.00 to 9.00 is
A) Q.
B) 2.00 Q.
C) 4.00 Q.
D) 8.00 Q.

Explanation / Answer

Q = m c T

Q = x (4/3) (D/2)3 c x 4 - (1)

New value of Q'

Q' = x (4/3) (2D/2)3 c x 4

= 8 Q

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