What equipment in necessary for the preparation of a 0.1000 M solution of sodium carbonate?

for accurately making a 0.1 M solution gravimetrically without standardization , one needs to accurately weigh the anhydrous sodium carbonate ( molar mass =106 grams/mole) to 10.6 grams+/- .01 grams and quantitaively transfer this amount of compound into approximately 800 mL of deionized water ( that have been previously boiled and cooled ) in a VOLUMETRIC flask and swirl to dissolve the compound...after dissolution, allow to cool ( the temp will rise slightly ) then carefully dilute to the mark on the VOLUMETRIC flask. This solution will be 0.1M in Na2CO3 within the limits of weighing and transfer error. So you will need a carefully calibrated balance and a volumetric flask, answer B. Generally any solution of a base or acid that will be used in sensitive analyses are standardized against standards of known molarity...this will correct for the above -mentioned weighing and transfer errors.

You really need to study your lesson

How can you make a 0.100 M solution of a salt in water?

Answer - you weigh out the proper amount of salt and disolve it to a given volume.

Now I ask you

What equipment is needed to weigh out the salt?

What equipment is needed to disolve the salt into a given volume?

You should know this as this is very basic high school chemistry.