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What is the final temperature of 5kg of water, with an initial temperature of 5oC, after 50kJ of energy has been transferred to it. The specific heat capacity of water is 4200 J/kgoC

Sagot :

Answer:

[tex]T_f=7.38^{\circ}[/tex]

Explanation:

Given that,

Mass, m = 5 kg

Initial temperature of water, [tex]T_i=5^{\circ} C[/tex]

Heat transferred, Q = 50 kJ = 50,000 J

The specific heat capacity of water is 4200 J/kg°C

We need to find the final temperature of the water. The heat transferred in the process is given by :

[tex]Q=mc\Delta T\\\\Q=mc(T_f-T_i)\\\\\dfrac{Q}{mc}+T_i=T_f\\\\T_f=\dfrac{50000}{5\times 4200}+5\\\\T_f=7.38^{\circ}[/tex]

So, the final temperature of water is [tex]7.38^{\circ}[/tex].

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