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91Ó°ÊÓ

A piece of silver of mass \(362 \mathrm{~g}\) has a heat capacity of \(85.7 \mathrm{~J} /{ }^{\circ} \mathrm{C}\). What is the specific heat of silver?

Short Answer

Expert verified
The specific heat of silver is approximately \(0.237 \frac{J}{g^\circ C}\).

Step by step solution

01

Understand the given values

The problem provides the following data:\nThe mass of the piece of silver \(m = 362g\) and its heat capacity \(C = 85.7J/^\circ C\).
02

Apply the formula

The specific heat (c) can be found by rearranging the formula for thermal capacity. In this case, the formula is: \(c = \frac{C}{m}\), where C is the thermal capacity and m is the mass.
03

Substitute the given values

Substitute the given values into the formula:\(c = \frac{85.7}{362}\).
04

Calculate the specific heat

With the values substituted into the formula, the calculation will now get the specific heat of silver by dividing 85.7 by 362.

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