High School

A sample of solid iodine is heated with an electrical coil. If 48.8 J is added to a 10.4-gram sample and the final temperature is 35.9 ∘C, calculate the initial temperature of the iodine.

Answer: _____ ∘C.

Answer :

Final answer:

To calculate the initial temperature of the iodine, use the equation q = mcΔT. Substitute the given values and solve for T. The initial temperature of the iodine is 28.54°C.

Explanation:

To calculate the initial temperature of the iodine, we can use the equation:

q = mcΔT

Where q is the heat added, m is the mass of the iodine, c is the specific heat capacity of iodine, and ΔT is the change in temperature. In this case, we are given q = 48.8J, m = 10.4g, and ΔT = 35.9°C - T, where T is the initial temperature. The specific heat capacity of iodine is 0.214J/g°C. Substituting these values into the equation:

48.8J = (10.4g)(0.214J/g°C)(35.9°C - T)

Simplifying the equation:

T = 28.54°C

Therefore, the initial temperature of the iodine is 28.54°C.

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