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 \(0.237 J/g°C\).

Step by step solution

01

Understand the given information

First understand the provided information. A piece of silver with a mass of 362g and a heat capacity of 85.7 J/°C. The exercise asks to calculate the specific heat (c) of silver.
02

Use the formula to solve

Specific heat, often represented as 'c', is calculated by taking the Heat capacity divided by the mass. It can be represented as: \(c = \frac{C}{m}\). Where 'C' is the heat capacity (85.7 J/°C) and 'm' is the mass (362g).
03

Input the values and solve

Now substitute values for the heat capacity and mass into the given formula. \(c = \frac{85.7 J/°C}{362 g}\). Then solve to find the specific heat of silver.

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