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7. A block of copper of unknown mass has an initial temperature of 65.4oC. The copper is immersed in a beaker containing 95.7g of water at 22.7oC. When the two substances reach thermal equilibrium, the final temperature is 24.2oC. What is the mass of the copper block?

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boffeemadrid

Answer:

37.34372 kg

Explanation:

m = Mass

[tex]\Delta T[/tex] = Change in temperature

1 denotes water

2 denotes copper

c = Heat capacity

Heat is given by

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

In this case the heat transfer will be equal

[tex]m_1c_1\Delta T_1=m_2c_2\Delta T_2\\\Rightarrow m_2=\frac{m_1c_1\Delta T_1}{c_2\Delta T_2}\\\Rightarrow m_2=\frac{95.7\times 4.18(24.2-22.7)}{0.39(65.4-24.2)}\\\Rightarrow m_2=37.34372\ kg[/tex]

Mass of copper block is 37.34372 kg

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