The coefficient of linear expansion of copper is 17 × 10-6 K-1. A block of copper 30 cm wide, 45 cm long, and 10 cm thick is heated from 0°C to 100°C What is the change in the volume of the block?

The change in volume is      

Explanation:

From the question we are told that

   The coefficient of linear expansion is  

   The width  of the block is  

    The length is  

        The thickness is  

     The initial temperature is  

    The final temperature is  

The  initial volume is  mathematically represented as

substituting values

Generally the expansion equation is mathematically represented as

where   is the new length

substituting values

The new width is evaluated as

substituting values

The new thickness is  

substituting values

The new volume is  mathematically evaluated as

substituting values

 Therefore

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