High School

In the laboratory, a student finds that it takes 29.7 Joules to increase the temperature of 13.2 grams of solid lead from 23.4 to 38.8 degrees Celsius. Calculate the specific heat of lead from her data in J/g°C.

Answer :

After calculations, we found that the specific heat of lead calculated from the given data is 0.113 J/g∘C.

To calculate the specific heat of lead (J/g∘C) using the given data, we can use the formula:

q = m * c * ΔT

q is the heat energy absorbed by the lead (29.7 J),

m is the mass of the lead (13.2 g),

c is the specific heat of lead (unknown), and

ΔT is the change in temperature (38.8 - 23.4 = 15.4 ∘C).

Substituting the known values into the equation, we have:

29.7 J = 13.2 g * c * 15.4 ∘C

Simplifying the equation, we can isolate c:

c = 29.7 J / (13.2 g * 15.4 ∘C)

c ≈ 0.113 J/g∘C

Therefore, the specific heat of lead calculated from the given data is approximately 0.113 J/g∘C.

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