Chemical Engineering Basics

Q1: When a copper ball is heated, the largest percentage increase will be in its

A radius

B area

C mass

D volume

ANS:D - volume

When a copper ball is heated, the largest percentage increase will be in its volume. When a solid object, such as a copper ball, is heated, it expands in all directions. This expansion occurs uniformly, meaning that the increase in dimensions (such as radius, area, and volume) is proportional in all directions. The relationship between the change in volume (ΔV) and the original volume (V) due to temperature change can be expressed using the coefficient of volume expansion (α): ΔV=V⋅α⋅ΔT Where:

  • ΔV = Change in volume
  • V = Original volume
  • α = Coefficient of volume expansion
  • ΔT = Change in temperature
The coefficient of volume expansion (α) for most materials, including copper, is typically larger than the coefficients of linear expansion for the same material. This means that the percentage increase in volume due to temperature change is usually greater than the percentage increase in linear dimensions (such as radius or area). Therefore, when a copper ball is heated, the largest percentage increase will be in its volume.
 



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