Design an experimental procedure for determining the specific heat of a metal.

Short Answer

Expert verified
The specific heat of the metal can be experimentally determined by first measuring the initial temperatures of the hot water and the metal sample and the mass of the metal sample. The metal sample is then placed in a calorimeter with the hot water, and the system is left to reach a uniform final temperature. By assuming the heat lost by the water equals the heat gained by the metal, we can use the formula for specific heat (c = q/m*ΔT) to calculate the specific heat of the metal.

Step by step solution

01

Materials Needed

Collect the following materials: a metal sample, a calorimeter (or an insulating cup), a thermometer, a balance for measuring mass, and a hot water source.
02

Safety Considerations

Always be careful when working with hot water and hot metal samples to avoid burns. Use appropriate safety gear such as gloves and safety glasses.
03

Initial Measurements

Measure the initial temperature of both the hot water and the metal sample with the thermometer. Also, use the balance to measure the mass of the metal sample. Record these values.
04

Transfer of Thermal Energy

Place the metal sample in the calorimeter, then add the hot water. Cover the calorimeter to minimize heat loss to the environment.
05

Final Temperature Measurement

Stir the mixture and allow it to sit until a steady temperature is reached - this will be the final temperature.
06

Calculation

Calculate the specific heat (c) of the metal using the formula: \(c = \frac{q}{m \cdot \Delta T}\), where \(q\) is the heat energy absorbed or released (the heat lost by the hot water equals the heat gained by the metal sample), \(m\) is the mass of the sample, and \( \Delta T\) is the change in temperature.

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