Does it take energy for polymerization reasctions to proceed or ddo they occur spontaneoulsly?? Why or why not??

http://en.wikipedia.org/wiki/Endothermic_reaction

10. From a bottle of molten nutrient agar you need to pour 20 agar plates each containing 50 mg ml-1 ampicillin. Each plate will contain ~ 25ml of nutrient agar, and you have a stock ampicillin antibiotic solution of 200 mg ml-1. What volume of ampicillin stock solution do you need to add to the bottle of molten agar before pouring the plates? 

help :P

In general, polymerization reactions often require energy to proceed. This is because the process of polymerization involves breaking existing bonds in the monomers and forming new bonds to create the polymer. This bond formation requires energy input.

However, there are cases where polymerization reactions can occur spontaneously. For example, some polymerization reactions can be exothermic, meaning they release energy as the new bonds are formed. In these cases, the energy released during the bond formation is sufficient to overcome the energy needed to break the existing bonds.

To determine whether a polymerization reaction will occur spontaneously or require energy input, you can consider the overall energy change or enthalpy change (∆H) of the reaction. If the ∆H is negative (exothermic), the reaction is likely to occur spontaneously. If the ∆H is positive (endothermic), the reaction will require energy input to proceed.

Regarding the specific question about pouring agar plates with ampicillin, we need to calculate the volume of the ampicillin stock solution that needs to be added to the bottle of molten agar. Here are the steps to solve this problem:

1. Determine the desired concentration of ampicillin in the plates. In this case, it is 50 mg/ml.
2. Calculate the total amount of ampicillin needed for the plates. This can be done by multiplying the desired concentration by the total volume of agar needed for the plates (25 ml): 50 mg/ml * 25 ml = 1250 mg.
3. Determine the concentration of your ampicillin stock solution, which is 200 mg/ml.
4. Calculate the volume of the ampicillin stock solution needed. Divide the total amount of ampicillin needed (1250 mg) by the concentration of the stock solution (200 mg/ml): 1250 mg / 200 mg/ml = 6.25 ml.

Therefore, you need to add 6.25 ml of the ampicillin stock solution to the bottle of molten agar before pouring the plates.