Specific heat and molar mass

In summary, specific heat is the amount of heat energy needed to raise the temperature of a substance by one degree Celsius, typically measured in joules or calories per gram per degree Celsius. Molar mass is the mass of one mole of a substance and affects specific heat because heavier molecules require more energy to increase their temperature due to more internal energy and stronger intermolecular forces. Both specific heat and molar mass impact the heat capacity of a substance, with substances having higher specific heat and/or molar mass requiring more heat energy to increase their temperature.
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dilasluis
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Given the molar mass of Fe and the specific heat of Sn, what is the specific heat of Fe and the molar mass of Sn in approximate values?
 
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Please show your attempt to answer the problem, as is required on this forum.
 
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To determine the specific heat of Fe and the molar mass of Sn, we can use the equation Q = mCΔT, where Q is the heat absorbed or released, m is the mass, C is the specific heat, and ΔT is the change in temperature.

First, we can rearrange the equation to solve for C: C = Q / (mΔT). We know the molar mass of Fe (55.845 g/mol) and the specific heat of Sn (0.21 J/g°C), so we can substitute those values into the equation along with the mass of Fe (let's say 100 grams) and the change in temperature (let's say 10°C):

C = Q / (mΔT)
C = (100 g)(0.21 J/g°C) / (55.845 g/mol)(10°C)
C = 0.378 J/mol°C

Therefore, the specific heat of Fe is approximately 0.378 J/mol°C.

To find the molar mass of Sn, we can rearrange the equation again to solve for m: m = Q / (CΔT). We know the molar mass of Fe (55.845 g/mol) and the specific heat of Sn (0.21 J/g°C), so we can substitute those values along with the heat absorbed or released (let's say 500 J) and the change in temperature (let's say 20°C):

m = Q / (CΔT)
m = (500 J) / ((0.21 J/g°C)(20°C))
m = 119.05 g/mol

Therefore, the molar mass of Sn is approximately 119.05 g/mol.

It is important to note that these values are only approximations and may vary depending on the actual values used in the calculations. Additionally, the specific heat and molar mass of a substance can also vary depending on factors such as temperature and pressure. Further experimentation and analysis would be needed to determine more precise values.
 

1. What is specific heat?

Specific heat is the amount of heat energy required to raise the temperature of one unit of mass of a substance by one degree Celsius.

2. How is specific heat measured?

Specific heat is typically measured in units of joules per gram per degree Celsius (J/g°C) or calories per gram per degree Celsius (cal/g°C).

3. What is molar mass?

Molar mass is the mass of one mole of a substance, which is equal to its atomic or molecular weight in grams per mole.

4. How is molar mass related to specific heat?

Molar mass affects the specific heat of a substance because heavier molecules require more energy to increase their temperature compared to lighter molecules. This is due to the fact that heavier molecules have more internal energy and stronger intermolecular forces.

5. How do specific heat and molar mass impact the heat capacity of a substance?

Specific heat and molar mass both play a role in determining the heat capacity of a substance. The heat capacity is the amount of heat energy required to raise the temperature of a substance by one degree Celsius. A substance with a higher specific heat and/or molar mass will have a higher heat capacity, meaning it requires more heat energy to increase its temperature compared to a substance with lower specific heat and/or molar mass.

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