Respuesta :

Answer: The final temperature will be [tex]70^0C[/tex]

Explanation:

To calculate the specific heat of substance during the reaction.

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

where,

q = heat absorbed =41840 J

c = specific heat = [tex]4.184J/g^0C[/tex]

m = mass of water  = 200 g

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

[tex]T_{initial}[/tex]= initial temperature = [tex]20^0C[/tex]

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

[tex]41840J=200g\times 4.184J/g^0C\times (T_{final}-20)^0C[/tex]

[tex]T_{final}=70^0C[/tex]

Thus the final temperature will be [tex]70^0C[/tex]

The final temperature will be [tex]70^oC[/tex]

Specific heat capacity

It is defined as the heat capacity of a sample of the substance divided by the mass of the sample.

Formula to calculate specific heat capacity:

  • [tex]q=m*C*(T_2-T_1)[/tex]

where,

q = heat absorbed =[tex]41840 J[/tex]

C = specific heat = [tex]4.184 J/g^oC[/tex]

m = mass of water = [tex]200 g[/tex]

T₁= initial temperature = [tex]20^oC[/tex]

To find:

T₂= final temperature =?

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

[tex]q=m*C*(T_2-T_1)\\\\41840J=200g*4.184J/g^oC(T_2-20^oC)\\\\T_2=70^oC[/tex]

Thus, the final temperature will be [tex]T_2=70^oC[/tex]

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