# 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.Determine whether the value is consistent with the rock being pure gold by referring to the table.

###### FREE Expert Solution

We’re being asked to determine if the rock is pure gold by referring to the table of substances and their specific heat capacity.

We will determine the specific heat capacity of the rock from the given values then refer to the table to identify the rock.

Thspecific heat capacity can be calculated using the following equation for the heat released or absorbed (q):

where

m = mass of water (in grams)

c = specific heat capacity of water

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.

Determine whether the value is consistent with the rock being pure gold by referring to the table.