A chemist heats 37.35 g of lead to 67.71 °C , then places the metal sample in the cup of water shown in the interactive. Calculate the final temperature of the water. The specific heat of lead is 0.130 J/g⋅°C and the specific heat of water is 4.184 J/g⋅°C . mass of water: 60.000g
initial temperature of water: 25.00 C

Explanation:

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In this case, since the calorimetry problems involving how the heat released by a hot substance is gained by the cold substance when they are placed in contact until they reach the thermal equilibrium is mathematically defined via:

In this problem, it is seen that the lead is hot and the water cold, so we can write:

Thus, since it is asked for the final temperature, or equilibrium temperature, we solve for it as shown below:

Then, by plugging in the known data we obtain:

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in the analysis of systems that involve fluid flow, we frequently encounter the combination of properties u and pv.