Another calorimeter problem, and %error

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SUMMARY

The discussion focuses on calculating the latent heat of fusion (Lf) for ice using a calorimeter setup with specific parameters. The calorimeter mass is 70 g with a specific heat of 0.1 cal/g°C, and the total mass of the calorimeter and water is 220 g at an initial temperature of 65°C. The final temperature after mixing with ice at 2°C is 30°C. The user calculated Lf as -1063.07 cal/g but expressed uncertainty about its accuracy and the method for calculating percent error, which is defined as the absolute difference between experimental and known values divided by the known value, multiplied by 100.

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  • Understanding of calorimetry principles
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  • Review the derivation of the calorimetry equation: m Lf + m c (ΔT) = m c (ΔT) + m c (ΔT)
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  • Study the concept of specific heat and its applications in thermal energy calculations
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Homework Statement


calorimeter mass = 70 g
specific heat of calorimeter = .1 cal/gC
cal. and water mass = 200g
temp of water and cal = 65 C
mass of cal, water, and ice = 220 g
temp of ice = 2 C
final temp of cal, water, and ice = 30 C
Find Lf for this ice.
Find the percent error.


Homework Equations


m Lf + m c (change in temp) = m c (change in temp) + m c (change in temp)
left of equals sign is for ice, 1st m c T on right is water, 2nd is calorimeter



The Attempt at a Solution


20 Lf + 20 2.09 28 = 130 4.19 -35 + 70 (.1 x 4.19) -35
i got -1063.07 for Lf, but I am not sure if its right, and I am not sure how to find percent error
 
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The percent error will be the discrepancy between the experimental value and the known value over the known value.
percenterror = \frac{|x_{exp} - x_{known}|}{x_{known}}*100
 

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