The reaction A + B → C has been conducted in a reactor as shown below.

The number of balances (material) that can be made around the reactor are

ANS:C - 3

To determine the number of material balances that can be made around the reactor, we need to consider the number of independent components involved in the reaction and the degree of freedom. The degree of freedom (𝐹F) in a chemical process is given by: 𝐹=𝐶−𝑅F=C−R Where:

• 𝐶C is the number of independent components (chemical species) in the system.
• 𝑅R is the number of independent reactions occurring in the system.

In the given reaction 𝐴+𝐵→𝐶A+B→C, there are three chemical species involved: 𝐴A, 𝐵B, and 𝐶C. So, 𝐶=3C=3. There is one independent reaction occurring in the system: 𝐴+𝐵→𝐶A+B→C. So, 𝑅=1R=1. Now, we can calculate the degree of freedom: 𝐹=𝐶−𝑅=3−1=2F=C−R=3−1=2 The degree of freedom represents the number of material balances that can be made independently. Each material balance equation contributes one degree of freedom. So, the number of material balances that can be made around the reactor is equal to the degree of freedom. Therefore, the correct answer is: 2