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Reil [10]
2 years ago
11

Energy in the amount of 420 J is added to a 35 g sample of water at a temperature of 10°C. What is the final temperature of the

water?
Chemistry
1 answer:
Vsevolod [243]2 years ago
7 0

The <em>final temperature </em><em>of the</em><em> water, T2</em> = <em>38.57°C</em>

Temperature can be defined as a measure of the degree of hotness or coldness of a physical object (body). Thus, it is measured with a thermometer and its units are degree Celsius (°C), Fahrenheit (°F) and Kelvin (°K).

A calorie refers to the amount of heat required to raise the temperature of a gram of water by one (1) degree Celsius (1°C).

<u />

<u>Given the following data:</u>

  • Quantity of energy = 420J
  • Mass = 35 grams
  • Initial temperature, T1 = 10°C

The specific heat capacity of water is 4.2 J/g°C.

To find the final temperature of the water (T2):

Mathematically, the quantity of energy (heat capacity) is given by the formula;

Q = mcdt

Where;

  • Q represents the heat capacity or quantity of heat.
  • M represents the mass of an object.
  • C represents the specific heat capacity of water.
  • dt represents the change in temperature.

Substituting the values into the formula, we have;

420 = 3.5 \; * \; 4.2 \; * \;  dt

420 = 14.7 \; * \; dt\\\\dt = \frac{420}{14.7}

Change in temperature, dt = 28.57°C

Next, we would solve for the final temperature by using this formula;

dt = T2 - T1

28.57 = T_{2} - 10\\\\T_{2} = 28.57 \; + \; 10\\\\T_{2} = 38.57

<em>Final temperature, T2 = 38.57°C</em>

<em>Therefore</em><em>, </em><em>the</em><em> final temperature </em><em>of the</em><em> water, T2</em> is equal to <em>38.57°C</em>

For more information visit: brainly.com/question/22736508

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