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You can put a known amount sodium into some sort of time release mechanism such as a pill made from soluble material.  Then you can place the sodium into a calorimeter with a known mass of water and record the temperature change the water undergoes during the reaction.  Then you can use the equation q(water)=m(water)c(water)ΔT to find the amount of heat absorbed by the water.  since the amount of heat absorbed by the water is the amount of heat released from the sodium, q(sodium)=-q(water).  Than you can use the equation q(sodium)=m(sodium)c(sodium)ΔT and solve for c(sodium)

I hope this helps and feel free to ask about anything that was unclear in the comments.

The method for determining the specific heat for a metal like sodium which reacts violently with water is; Calorimetry method explained below.

The method for determining the specific heat capacity for a metal like sodium is through calorimetry method which has the following procedures;

  1. Measure the mass of the sodium sample (m_s), and then weigh a beaker.
  2. Fill the beaker with distilled water and weigh the beaker again.
  3. Get the mass of the water (m_w) by subtracting the mass of the beaker from the one filled with water in step 2.
  4. Pour the measured water from step 3 into the calorimeter and allow the water to reach ambient temperature which will measured as T_w,i
  5. Re-fill the beaker with water and allow to boil on a hot plate till it gets to boiling point, and allow the temperature to be steady at boiling point.
  6. At a temperature slightly above the boiling point, record it as the initial temperature of the sodium sample (T_s,i).
  7. Let the sodium sample in the test tube be placed on a glass stand and put in the boiling water submerged for ten minutes.
  8. Disconnect the test tube from the glass stand and pour the sodium sample into the calorimeter and close the lid.
  9. Observe the temperature in the calorimeter, and when it has stopped increasing, record it as the final temperature of both the water and the sodium sample (T_w,f = T_s,f).

The specific heat capacity of the sodium sample will be gotten by imputing the recorded values into the formula;

c_s = –(c_w•m_w•(T_w,f - T_w,i))/(m_s•(T_s,f - T_s,i)

Read more about determination of specific heat capacity at; https://brainly.com/question/18402338

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