Answer:
80.0°C will be the final temperature inside the calorimeter.
Explanation:
Heat lost by the pace of jewelry will be equal to heat gained by the another piece of the jewelry
[tex]-Q_1=Q_2[/tex]
Mass of piece-1= [tex]m_1=2m[/tex]
Specific heat capacity of copper= [tex]c [/tex] = 0.387 J/g.K
Initial temperature of the iron = [tex]T_1=101^oC[/tex]
Final temperature = [tex]T_2[/tex]=T
[tex]Q_1=m_1c_1\times (T-T_1)[/tex]
Mass of piece-2= [tex]m_2=m[/tex]
Specific heat capacity of copper = [tex]c[/tex] = 0.387 J/g.K
Initial temperature of the water = [tex]T_3=38.0^oC[/tex]
Final temperature of water = [tex]T_2[/tex]=T
[tex]Q_2=m_2c_2\times (T-T_3)[/tex]
[tex]-Q_1=Q_2[/tex] (conservation of energy)
[tex]-(m_1c_1\times (T-T_1))=m_2c_2\times (T-T_3)[/tex]
On substituting all values:
[tex]-(2mc\times (T-101^oC))=mc\times (T-38.0^oC)[/tex]
[tex]T= 80.0^oC[/tex]
80.0°C will be the final temperature inside the calorimeter.