To calibrate your calorimeter cup, you first put 45 mL of cold water in the cup, and measure its temperature to be 24.7 °C. You then pour 47 mL of hot water, temperature = 46.1 °C, into the cup and measure the temperature every thirty seconds over a 10 minute period. You extrapolate this "cooling curve" back to the time of addition and find that the "final temperature" after mixing is 33.4 °C. What is the heat change of the cold water in Joules? Give your answer in standard notation. Do not input units.

Respuesta :

Answer : The heat change of the cold water in Joules is, [tex]1.6\times 10^3J[/tex]

Explanation :

First we have to calculate the mass of cold water.

As we know that the density of water is 1 g/mL. The volume of cold water is 45 mL.

[tex]Density=\frac{Mass}{Volume}[/tex]

[tex]Mass=Density\times Volume=1g/mL\times 45mL=45g[/tex]

Now we have to calculate the heat change of cold water.

Formula used :

[tex]Q=m\times c\times (T_2-T_1)[/tex]

where,

Q = heat change of cold water = ?

m = mass of cold water = 45 g

c = specific heat of water = [tex]4.184J/g^oC[/tex]

[tex]T_1[/tex] = initial temperature of cold water = [tex]24.7^oC[/tex]

[tex]T_2[/tex] = final temperature  = [tex]33.4^oC[/tex]

Now put all the given value in the above formula, we get:

[tex]Q=45g\times 4.184J/g^oC\times (33.4-24.7)^oC[/tex]

[tex]Q=1638.036J=1.6\times 10^3J[/tex]

Therefore, the heat change of cold water is [tex]1.6\times 10^3J[/tex]

The heat change of the cold water in Joules is mathematically given as

Q=1.6*0^3J

What is the heat change of the cold water in Joules?

Question Parameter(s):

To calibrate your calorimeter cup, you first put 45 mL of cold water

hot water, temperature = 46.1 °C,

the temperature every thirty seconds over a 10 minute period.

Generally, the equation for the heat change  is mathematically given as

Q=m* c* (T2-T1)

Where

Mass=d*v

Mass=1* 45mL

Mass=45g

Therefore

Q=45*4.184* (33.4-24.7)

Q=1638.036J

Q=1.6*0^3J

In conclusion, the heat change of cold water is

Q=1.6*0^3J

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