Respuesta :
Answer: The final temperature of water is 27.82°C
Explanation:
When metal is dipped in water, the amount of heat released by metal will be equal to the amount of heat absorbed by water.
[tex]Heat_{\text{absorbed}}=Heat_{\text{released}}[/tex]
The equation used to calculate heat released or absorbed follows:
[tex]Q=m\times c\times \Delta T=m\times c\times (T_{final}-T_{initial})[/tex]
[tex]m_1\times c_1\times (T_{final}-T_1)=-[m_2\times c_2\times (T_{final}-T_2)][/tex] ......(1)
where,
q = heat absorbed or released
[tex]m_1[/tex] = mass of aluminium = 26.4 g
[tex]m_2[/tex] = mass of water = 100.4 g
[tex]T_{final}[/tex] = final temperature = ?°C
[tex]T_1[/tex] = initial temperature of aluminium = 100.6°C
[tex]T_2[/tex] = initial temperature of water = 22.0°C
[tex]c_1[/tex] = specific heat of aluminium = 0.903 J/g°C
[tex]c_2[/tex] = specific heat of water= 4.186 J/g°C
Putting values in equation 1, we get:
[tex]26.4\times 0.903\times (T_{final}-100.6)=-[100.6\times 4.186\times (T_{final}-23.7)][/tex]
[tex]T_{final}=27.82^oC[/tex]
Hence, the final temperature of water is 27.82°C
