0.5000 kg of water at 35.00 degrees Celsius is cooled, with the removal of 6.300 E4 J of heat. What is the final temperature of the water? Specific heat capacity of water is 4186 J/(kg Co).Remember to identity all of your data, write the equation, and show your work.

Respuesta :

Answer:

65.1 °C

Explanation:

m = mass of the water = 0.5 kg

[tex]T_{i}[/tex] = initial temperature of water = 35.00 °C

[tex]T_{f}[/tex] = final temperature of water

c = specific heat of water = 4186 J/(kg °C)

Q = Amount of heat removed from water = 6.3 x 10⁴ J

Amount of heat removed from water is given as

Q = m c ([tex]T_{f}[/tex] - [tex]T_{i}[/tex])

Inserting the values

6.3 x 10⁴ = (0.5) (4186) ([tex]T_{f}[/tex] - 35.00)

[tex]T_{f}[/tex] = 65.1 °C

Answer : The final temperature of the water is [tex]65.10^oC[/tex]

Explanation :

Formula used :

[tex]q=m\times c\times (T_{final}-T_{initial})[/tex]

where,

q = heat released = [tex]6.300\times 10^{4}J[/tex]

m = mass of water = 0.5000 kg

c = specific heat of water = [tex]4186J/kg^oC[/tex]

[tex]T_{final}[/tex] = final temperature = ?

[tex]T_{initial}[/tex] = initial temperature = [tex]35.00^oC[/tex]

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

[tex]6.300\times 10^{4}J=(0.5000kg)\times (4186J/kg^oC)\times (T_{final}-35.00)^oC[/tex]

[tex]T_{final}=65.10^oC[/tex]

Therefore, the final temperature of the water is [tex]65.10^oC[/tex]