Chemistry Problem involving specific heat capacity and energy change

In summary, a cube of gold with a density of 19.3 g/mL is heated to 94.2 degrees celsius and then submerged in 31.3 mL of water at an initial temperature of 28.7 degrees celsius. After the gold cube is submerged, the final temperature of the water is 45.6 degrees celsius. To calculate the volume of the gold cube, we can use the mass of the gold and its density. One possible approach is to first find the amount of energy required to heat the water from 28.7 to 45.6 degrees celsius, and then use that value to determine the mass of the gold using its specific heat capacity.
  • #1
maceng7
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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)


Homework Equations





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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  • #2
Where is the problem with finding volume of the cube once you know its mass and the gold density?
 

Related to Chemistry Problem involving specific heat capacity and energy change

1. What is specific heat capacity?

Specific heat capacity is defined as the amount of heat required to raise the temperature of one gram of a substance by one degree Celsius. It is often denoted by the symbol "c" and is measured in units of joules per gram per degree Celsius (J/g°C).

2. How is specific heat capacity related to energy change?

Specific heat capacity is directly related to energy change in a system. The energy change (q) can be calculated by multiplying the mass (m) of the substance by its specific heat capacity (c) and the change in temperature (ΔT), expressed as q = mcΔT.

3. How do you calculate the specific heat capacity of a substance?

The specific heat capacity of a substance can be calculated by conducting an experiment in which a known amount of energy is added to the substance, and the resulting temperature change is measured. This information can then be used to calculate the specific heat capacity using the formula q = mcΔT.

4. What factors can affect specific heat capacity?

Specific heat capacity can be affected by a variety of factors, including the type of substance, its physical state (solid, liquid, or gas), and its temperature. Additionally, specific heat capacity can vary with changes in pressure and can be influenced by the presence of impurities or other substances in the system.

5. How is specific heat capacity used in real-world applications?

Specific heat capacity has many practical applications, including in industries such as food and beverage, where it is used to calculate the amount of energy needed for cooking and processing. It is also important in the design of heating and cooling systems, as well as in understanding weather patterns and energy transfer in the Earth's atmosphere.

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