contestada

To what temperature will 9400J of heat raise 3.5kg of water that is initially at 18.0?C? The specific heat of water is 4186 J/kg?C?.

Respuesta :

Answer:

[tex]T_f=18.641^{\circ} C[/tex]

Explanation:

Given that,

Heat raised, Q = 9400 J

Mass, m = 3.5 kg

Initial temperature of water, [tex]T_i=18^{\circ} C[/tex]

The specific heat of water, [tex]c=4186\ J/kg^{\circ} C[/tex]

We need to find the final temperature of water. The heat required to raise the temperature is given by :

[tex]Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}=(T_f-T_i)\\\\T_f=\dfrac{Q}{mc}+T_i\\\\T_f=\dfrac{9400}{3.5\times 4186}+18\\\\=18.641^{\circ} C[/tex]

So, the final temperature is [tex]18.641^{\circ} C[/tex].