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The specific heat capacity of solid copper metal is 0.385 J/g-K. How many joules of heat are needed to raise the temperature of a 1.55-kg block of copper from 33.0 °C to 99.9 °C?

A. 3.71 × 10^−6 J
B. 39.9 J
C. 3.99 × 10^4 J
D. 0.00371 J
E. 2.69 × 10^5 J

Answer :

Answer: 3.99•10⁴ J

Explanation:

The Heat Formula is: Q = m • C • ΔT

Your given C, m, T₀, and T

C = 0.385 J/g•K

m = 1.55 kg or 1,550 g

T₀ = 33.0 °C

T = 99.9 °C

(ΔT = T - T₀)

Your only remaining variable is Q, heat, so you can now plug in your values to solve.

Q = (1550)(0.385)(99.9 - 33.0)

(ΔT(°C) = ΔT(K) because the conversion is linear)

Q = 39,922.575 J

or

3.99•10⁴ J

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