Question

$X$ is an extensive property and $x$ is an intensive property of a thermodynamic system. Which of the following statement(s) is/are correct?

• A. $Xx$ is extensive.
• B. $\frac{X}{x}$ is intensive.
• C. $\frac{X}{x}$ is extensive.
• D. $\frac{dX}{dx}$ is intensive.

Hint:

Scaling trick: \begin{itemize} \item Multiply by intensive $\Rightarrow$ remains extensive \item Divide extensive by intensive $\Rightarrow$ still extensive \item Ratio of two extensive properties $\Rightarrow$ intensive \end{itemize}

Answer 1

The Correct Option is A