# 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:

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.

 Substance Specific heatcapacity, Cs (J/(g oC))* Elements Lead 0.128 Gold 0.128 Silver 0.235 Copper 0.385 Iron 0.449 Aluminum 0.903 Compounds Ethanol 2.42 Water 4.18 Materials Glass (Pyrex) 0.75 Granite 0.79 Sand 0.84 * At 298 K.

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