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The temperature of a piece of metal x with a mass of 95.4 g increases from 25°c to 48°c as the metal absorbs 849 j of heat what is the specific heat of metal x

a) 5.67 J/g°C
b) 3.45 J/g°C
c) 8.92 J/g°C
d) 10.21 J/g°C

1 Answer

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Final answer:

The specific heat of the metal is 0.380 J/g°C. None of the given answer choices match this value, so the correct answer is not provided.

Step-by-step explanation:

To determine the specific heat of the metal, we can use the formula:

q = mc∆T

where q is the heat absorbed, m is the mass of the metal, c is the specific heat, and ∆T is the change in temperature.

Plugging in the given values:

849 J = (95.4 g)(c)(48°C - 25°C)

Solving for c:

c = 849 J / (95.4 g)(23°C)

c = 0.380 J/g°C

The specific heat of the metal is 0.380 J/g°C. None of the given answer choices match this value, so the correct answer is not provided.

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