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How much thermal energy is required to raise the temperature of 6.0 mL of water from 25℃ to 75℃in a calorimeter or other closed system?

Sagot :

Explanation:

To find how much heat is required to change the temperature of a sample we usually use this expression:

Q = m * C * ΔT

Where Q is the heat required, m is the mass C is the specific heat and ΔT is the change in temperature.

The specific heat of water is 4.184 J/(g*°C). The density of water is 1 g/ml so the mass of 6.0 ml of water is 6.0 g. And we know that the final temperature is 75 °c and the initial is 25 °C.

density of water = 1 g/ml

m = mass of water = 6.0 mL * 1.0 g/mL = 6.0 g

m = 6.0 g

C = 4.184 J/(g*°C)

ΔT = Tfinal - Tinitial = 75 °C - 25 °C

ΔT = 50 °C

Finally we can replace these values in the formula and get the answer to our problem.

Q = m * C * ΔT

Q = 6.0 g * 4.184 J/(g*°C) * 50 °C

Q = 1255.2 J = 1300 J = 1.3 kJ

Answer: The thermal energy required is 1300 J or 1.3 kJ.