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A heater is connected to 220 V a.c. to heat 2 kg water at 40°C. If the water absorbs 3.6 x 105 J heat energy, find the final temperature of the water. ​

User Allethrin
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1 Answer

2 votes

Answer:

83.13 degree Celsius folks!

Step-by-step explanation:

Q = msdT

Here is how you do it fella's! First off Let us know abt the above terms shall we?

Where:

Q is the heat energy absorbed by the water,

m is the mass of the water,

s is the specific heat capacity of water,

dt is the change in temperature.

Given:

Q = 3.6 x 10^5 J

m = 2 kg

s= 4,186 J/kg°C (specific heat capacity of water)

Initial temperature, T_initial = 40°C

Rearranging the formula, we have:

dt = Q / (ms)

Substituting the given values:

dt = (3.6 x 10^5 J) / (2 kg * 4,186 J/kg°C)

Calculating:

dt ≈ 43.13°C

To find the final temperature, we add the change in temperature to the initial temperature:

Final temperature = T_initial + dT(above formed temp)

Final temperature = 40°C + 43.13°C

Final temperature = 83.13°C

Therefore, the correct final temperature of the water is approximately 83.13.

User Maziar Taheri
by
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