NeED HELP A>S>A>P Specific Heat

In summary, for (a), the amount of energy to raise the temperature of 18kg of carbon from -5celsius to 17celsius is 3.3 X 10^2 KJ.For (b), the specific heat capacity of the unknown substance can be calculated using the equation energy = c X m X delta t, where m = 0.2kg, delta t = 25celsius, and energy = 7320J. Once the value of c is found, it can be used to identify the unknown substance by looking it up in a table.
  • #1
lynn0808
9
0
Need help... Dont know how to solve correctly.

a) Determine the amount of energy to raise the temperature of 18kg of carbon from -5celsius to 17celsius.

b) 200g of a certain substance absorbs 7320J of energy and experienced a temperature rise form 5celsius to 30celsius. By calculating its 'C' value, identify as near as possible, the unknown substance.

here's some work I did

delta t= 17-5=12Celsius.
M=18kg
C=709j/kg
energy=cXmXdelta t
709J/kg.K X 18kg X12K
energy=3.28 KJ
=3.3 X10^2?

how do you solve for b. I don't know how to do it. Is this working correct?
 
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  • #2
For (a), please check your delta t.

For (b), you use the same equation you did for (a). You solve for c, the specific heat capacity. The idea is to find this value and look it up in a table and see what material it corresponds to.
 
  • #3



Hello,

Thank you for reaching out for help with specific heat calculations. I can definitely assist you with solving these problems.

For part a), we can use the formula Q = mcΔT, where Q is the amount of energy, m is the mass, c is the specific heat, and ΔT is the change in temperature. Let's plug in the values we have:

Q = (18kg)(c)(12°C)

We know that the change in temperature is 12°C, and we are trying to find the specific heat (c). We can rearrange the formula to solve for c:

c = Q / (mΔT)

c = (7320J) / (18kg)(12°C)

c = 34.33 J/kg°C

Therefore, the specific heat of carbon is 34.33 J/kg°C.

For part b), we can use the same formula, but rearrange it to solve for the unknown specific heat (c). Let's plug in the values we have:

7320J = (200g)(c)(25°C)

We know that the mass is 200g, the change in temperature is 25°C, and we are trying to find the specific heat (c). We can rearrange the formula to solve for c:

c = Q / (mΔT)

c = (7320J) / (200g)(25°C)

c = 1.464 J/g°C

However, the units for specific heat are typically in J/kg°C, so we need to convert the mass from grams to kilograms:

c = (7320J) / (0.2kg)(25°C)

c = 292.8 J/kg°C

Based on the given information, the substance has a specific heat of approximately 292.8 J/kg°C.

I hope this helps guide you in solving these types of problems in the future. Let me know if you have any other questions or need further clarification. Good luck!
 

What is specific heat and why is it important?

Specific heat is a physical property that measures the amount of heat required to change the temperature of a substance by one degree. It is important because it helps us understand how much energy is needed to heat or cool a substance, and can also be used to identify and classify different materials.

How is specific heat measured?

Specific heat is typically measured using a device called a calorimeter, which measures the change in temperature of a substance when a known amount of heat is added or removed. The specific heat can then be calculated using the formula Q = mcΔT, where Q is the amount of heat transferred, m is the mass of the substance, c is the specific heat, and ΔT is the change in temperature.

What factors affect the specific heat of a substance?

The specific heat of a substance is affected by its chemical composition and physical state. Substances with more complex molecular structures tend to have higher specific heats, while substances with simpler structures have lower specific heats. Additionally, the state of matter (solid, liquid, or gas) can also influence specific heat, with liquids typically having higher specific heats than solids or gases.

How does specific heat relate to heat capacity?

Specific heat and heat capacity are often used interchangeably, but they are not exactly the same. While specific heat measures the amount of heat needed to change the temperature of a unit mass of a substance, heat capacity measures the amount of heat needed to change the temperature of a specific object or system. Heat capacity is calculated by multiplying specific heat by the mass of the object.

How is specific heat used in real-world applications?

Specific heat has many practical applications, such as in the design of heating and cooling systems for buildings, the development of new materials for use in various industries, and in the study of climate change. It is also used in cooking and food science, as specific heat can affect how quickly food cooks and how long it stays warm after being removed from a heat source.

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