Respuesta :
Answer : The initial temperature of system 2 is, [tex]19.415^oC[/tex]
Explanation :
In this problem we assumed that the total energy of the combined systems remains constant.
[tex]-q_1=q_2[/tex]
[tex]m\times c_1\times (T_f-T_1)=-m\times c_2\times (T_f-T_2)[/tex]
The mass remains same.
where,
[tex]C_1[/tex] = heat capacity of system 1 = 19.9 J/mole.K
[tex]C_2[/tex] = heat capacity of system 2 = 28.2 J/mole.K
[tex]T_f[/tex] = final temperature of system = [tex]30^oC=273+30=303K[/tex]
[tex]T_1[/tex] = initial temperature of system 1 = [tex]45^oC=273+45=318K[/tex]
[tex]T_2[/tex] = initial temperature of system 2 = ?
Now put all the given values in the above formula, we get
[tex]-19.9J/mole.K\times (303-318)K=28.2J/mole.K\times (303-T_2)K[/tex]
[tex]T_2=292.415K[/tex]
[tex]T_2=292.415-273=19.415^oC[/tex]
Therefore, the initial temperature of system 2 is, [tex]19.415^oC[/tex]
