Two 20.0 g ice cubes at -16.0 °C are placed into 215 g of water at 25.0 °C. Assuming no energy is transferred to or from the surroundings, calculate the final temperature, Tr, of the water after all the ice melts. heat capacity of H,0(s) 37.7 J/(mol-K) T = °C heat capacity of H,O(1) 75.3 J/(mol·K) + TOOLS x10 enthalpy of fusion of H,O 6.01 kJ/mol

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Chapter10: Liquids And Solids
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Two 20.0 g ice cubes at –16.0 °C are placed into 215 g of water at 25.0 °C. Assuming no energy is transferred to or from the
surroundings, calculate the final temperature, Tf, of the water after all the ice melts.
heat capacity of H,O(s)
37.7 J/(mol·K)
T; :
°C
heat capacity of H,O(1)
75.3 J/(mol·K)
- TOOLS
x10
enthalpy of fusion of H,O
6.01 kJ/mol
Transcribed Image Text:Two 20.0 g ice cubes at –16.0 °C are placed into 215 g of water at 25.0 °C. Assuming no energy is transferred to or from the surroundings, calculate the final temperature, Tf, of the water after all the ice melts. heat capacity of H,O(s) 37.7 J/(mol·K) T; : °C heat capacity of H,O(1) 75.3 J/(mol·K) - TOOLS x10 enthalpy of fusion of H,O 6.01 kJ/mol
Expert Solution
Step 1

mass of ice, m1=20g                                                                     mass of water, m2=215g temp of ice,T1=-16°C                                                                  temp of water,  T2=25°C   heat capacity of ice(H2O solid),c1=37.7J/(mol K)            heat capacity of liq(H2O liq),c1=75.3J/(mol K)   enthalpy of fusion=6.01 J/(mol K)

for specific value in terms of gramHeat  capacity of  1mole of ice= 37.7J/(mol K)heat  capacity of  18g of ice= 37.7J/(mol K)heat  capacity of  1g of ice= 37.718J/(g K)                                        =2.09J/(g K)this is called specific heat capacitytherefore, heat capacity for ice, c1=2.094J/(g K)similarly for H2O(l)Heat  capacity of  1mole of H2O(l)=75.3J/(mol K)heat  capacity of  18g of H2O(l)= 75.3J/(mol K)heat  capacity of  1g of H2O(l)=75.318J/(g K)                                        =4.18J/(g K)this is called specific heat capacitytherefore, heat capacity for H2O(l), c2=4.184J/(g K)similarly enthaply of fusion= 6.01J/(mol K)                           =6.0118J/(g K)                           =0.33J/(g K)

 

 

 

 

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