Respuesta :

The specific heat capacity of the metal is [tex]3000 J/kg^{\circ}C[/tex]

Explanation:

When a substance absorbs a certain amount of heat, its temperature increases according to the equation:

[tex]Q=mC\Delta T[/tex]

where

Q is the amount of heat absorbed

m is the mass of the substance

C is its specific heat capacity

[tex]\Delta T[/tex] is the increase in temperature of the substance

For the metal in this problem, we have:

m = 0.3 kg

Q = 9000 J

[tex]\Delta T = 10^{\circ}C[/tex]

Therefore, its specific heat is:

[tex]C=\frac{Q}{m\Delta T}=\frac{9000}{(0.3)(10)}=3000 J/kg^{\circ}C[/tex]

Learn more about specific heat capacity:

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