Problem: To determine whether a shiny gold-colored rock is actually gold, a chemistry student decides to measure its heat capacity. She first weighs the rock and finds it has a mass of 4.0 g . She then finds that upon absorption of 54.6 J of heat, the temperature of the rock rises from 25 oC to 56 oC.SubstanceSpecific heatcapacity, Cs (J/(g oC))*ElementsLead0.128Gold0.128Silver0.235Copper0.385Iron0.449Aluminum0.903CompoundsEthanol2.42Water4.18MaterialsGlass (Pyrex)0.75Granite0.79Sand0.84* At 298 K.Find the specific heat capacity of the substance composing the rock.

FREE Expert Solution

We’re being asked to determine the specific heat capacity of the substance composing the rock. 


To solve the problem, we first calculate the specific heat capacity of the rock then compare it to the given values in the table.


The amount of heat Q is given by:

Q = mcT


where m = mass (in grams), c = specific heat, ΔT = change in temperature = final T – initial T

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Problem Details

To determine whether a shiny gold-colored rock is actually gold, a chemistry student decides to measure its heat capacity. She first weighs the rock and finds it has a mass of 4.0 g . She then finds that upon absorption of 54.6 J of heat, the temperature of the rock rises from 25 oC to 56 oC.


SubstanceSpecific heat
capacity, Cs 
(J/(g oC))*
Elements
Lead0.128
Gold0.128
Silver0.235
Copper0.385
Iron0.449
Aluminum0.903
Compounds
Ethanol2.42
Water4.18
Materials
Glass (Pyrex)0.75
Granite0.79
Sand0.84
* At 298 K.


Find the specific heat capacity of the substance composing the rock.

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Calorimetry concept. You can view video lessons to learn Calorimetry. Or if you need more Calorimetry practice, you can also practice Calorimetry practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Ratcliff's class at WVU.