A cubic piece of platinum metal (specific heat capacity = 0.1256 J/g°C) at 200.0°C is dropped into 100.0 L of deuterium oxide (heavy water), specific heat capacity = 4.21 J/g°C. The final temperature of the platinum and deuterium oxide mixture is 31.9°C. The density of platinum is 21.45 g/cm³ and the density of deuterium oxide is 1.1 g/mL. What is the edge length of the cube of platinum, in centimeters?

Given data: Specific heat capacity of platinum metal = 0.1256J/oC Specific heat capacity of deuterium oxide = 4.211J/oC Final temperature of the platinum and deuterium oxide = 31.9oC Density of platinum = 21.45g/cm3 Density of deuterium oxide = 1.11g/mL We need to find the edge length of the cube of platinum.Let mass of platinum be m grams Heat given by platinum = mass×specific heat×temperature difference = m×g×0.1256J/oC.g ×(200-31.9)oC = 21.1136mJ Mass of deuterium oxide = density×volume = 1.11g/mL×1000mL = 1110g Heat absorbed = 1110g×4.211J/oC.g×(31.9-25.5)oC = 29914.944J Heat given by platinum is equal to the heat absorbed by deuterium oxide. So, 21.1136mJ = 29914.944J ⇒mass of platinum, m = 29914.944J/21.1136mJ = 1416.85662g Volume of platinum cube = mass/density = 1416.85662g/(21.45g/cm3) = 66.05cm3 Volume of a cube = a3 where a is the side of the cube. 66.05cm3= a3 So, edge length or side of the uranium cube = 4.04 cm

Answered: A cubic piece of platinum metal…

Introduction to Chemical Engineering Thermodynamics

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ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

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A cubic piece of platinum metal (specific heat capacity = 0.1256 J/g°C) at 200.0°C is dropped into 100.0 L of deuterium oxide (heavy water), specific heat capacity = 4.21 J/g°C. The final temperature of the platinum and deuterium oxide mixture is 31.9°C. The density of platinum is 21.45 g/cm³ and the density of deuterium oxide is 1.1 g/mL. What is the edge length of the cube of platinum, in centimeters?

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