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The molar heat capacity of solid aluminium is 24.4\text{ J K}^{-1}\text{ mol}^{-1} \text{ at } 25^{\circ}\text{C}24.4 J K −1 mol −1 at 25 ∘ C. What is the change in internal energy when 1\text{ mol}1 mol of solid aluminium is heated from a temperature of 20^{\circ}\text{C} \text{ to }30^{\circ}\text{C}20 ∘ C to 30 ∘ C?

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xero099

Answer:

[tex]\Delta U = 244\,J[/tex]

Explanation:

The change in internal energy is given by the following expression:

[tex]\Delta U = n \cdot \bar c \cdot \Delta T[/tex]

[tex]\Delta U = (1\,mole)\cdot \left(24.4\,\frac{J}{mole\cdot K} \right)\cdot (10\,K)[/tex]

[tex]\Delta U = 244\,J[/tex]

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