Chemistry Problem involving specific heat capacity and energy change

AI Thread Summary
To solve the chemistry problem, first calculate the energy required to heat the water from 28.7 to 45.6 degrees Celsius using the specific heat capacity of water. This energy (q) will equal the energy lost by the gold cube as it cools down. Once the mass of the gold is determined using its specific heat capacity, the volume can be calculated using the density of gold. The key is understanding the energy transfer between the gold and water to find the mass, which then leads to the volume calculation. This approach effectively connects the concepts of specific heat capacity and density in the context of thermal energy changes.
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Homework Statement


A cube of gold is heated to a temperature of 94.2 degrees celsius, and then submerged in 31.3 mL of water at an initial temperature of 28.7 degrees celsius. If the final temperature of the water is 45.6 degrees celsius, calculate the volume of the cube of gold (s=0.130, density = 19.3 g/mL)


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The Attempt at a Solution



I don't really know where to start however, what if I found how much energy is required to heat water from 28.7 to 45.6 degrees celsius and then used that amount (q) to find the mass of gold using the specific heat capacity of gold? Any suggestions would be greatly appreciated, thanks
 
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Where is the problem with finding volume of the cube once you know its mass and the gold density?
 
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