Question

In: Chemistry

Find the heat of fusion of hte ice. You will do this by immersing a 30mL...

Find the heat of fusion of hte ice. You will do this by immersing a 30mL ice cube into 150 mL of hot water

T ice = 0C

T water = 60C

T final = 43C

mass of cup: 24g

mass of ice: 28g

Mass of water: 130g

specific heat of liquid water = 4181 J/kg K

specific heat of ice = 2090 J/kg K

specific heat of aluminum (cup) = 900 J/kg K

Solutions

Expert Solution

First, identifty whats going to happen

the ice will transform from solid ice at 0ºC to liquid water at 0ºC

then, the liquid ice will go from 0ºC to Tfinal, which is 43ºC

for the water (hot water)

Water goes from 60ºC to 43ºC,

knowing this

Qice + Qcup = -Qwater

Qice + Qcup = mice*Latent heat + mice*Cwater*(Tf-Ti) + mcup*Calum*(Tf-Ti)

Qwater = mwater*Cwater*(Tf-Tw)

now,

mice*Latent heat + mice*Cwater*(Tf-Ti) +   mcup*Calum*(Tf-Ti)= -mwater*Cwater*(Tf-Tw)

now, substitute all known data

28*LH + 28*4.184*(43-0) +24*0.90*(43-0)= -130*4.184*(60-43)

now, solve fot LH, latent heat of ice

28*LH + 28*4.184*(43-0) +24*0.90*(43-0)= -130*4.184*(60-43)

28*LH +5966.336 = - 9246.64

LH = (-9246.64 - 5966.336)/(28) = 543.320 J/g C approx


Related Solutions

Answer the following questions: a). The heat of fusion of ice is 6.00 kJ/mol. Find the...
Answer the following questions: a). The heat of fusion of ice is 6.00 kJ/mol. Find the number of photons of wavelength = 6.27 10-6 m that must be absorbed to melt 3.00 g of ice b). The energy required to ionize potassium is 419 kJ/mol. What minimum frequency of light is required to ionize potassium? c). An X-ray photon of wavelength 0.920 nm strikes a surface. The emitted electron has a kinetic energy of 936 eV. What is the binding...
The heat of fusion of ice is 6.00 kJ/mol. Find the number of photons of wavelength...
The heat of fusion of ice is 6.00 kJ/mol. Find the number of photons of wavelength = 6.27 10-6 m that must be absorbed to melt 3.00 g of ice.
Heat of Fusion of Ice A. Determine the number of calories and joules lost by the...
Heat of Fusion of Ice A. Determine the number of calories and joules lost by the warm water. B. Determine the number of calories and joules needed to warm the melted ice. C. Determine the number of calories and joules required to melt the ice. D. Calculate the heat of fusion of ice in cal/g and J/g. Heat of Fusion of Ice Initial volume of water (Trial 1 &2) = 25 ml, 25 ml Initial water temperature (Trial 1 &...
compare your experimental value for the heat of fusion of ice with the accepted value ,...
compare your experimental value for the heat of fusion of ice with the accepted value , 6.01 kJ/mol. Comment on the comparison, and try to explain your error ( if it exists). How would you change your procedure to improve its accuracy ?
The heat of fusion of ice is 80 cal/g at 0 °C and 1 atm, and...
The heat of fusion of ice is 80 cal/g at 0 °C and 1 atm, and the ratio of the specific volume of water to that of ice is 1.000:1.091. The saturated vapor pressure and the heat of vaporization of water at 0 °C are 6.026 × 10-3 atm and 600 cal/g, respectively. Estimate the triple point of water using these data
the heat of fusion of ice is 6.00 kj/mol. what number of photons of wavelength =...
the heat of fusion of ice is 6.00 kj/mol. what number of photons of wavelength = 6.42×10e-6m are needed to melt one gram of ice?
Specific heat of ice: 2.09 J/(g⋅∘C Specific heat of liquid water: 4.18 J/(g⋅∘C) Enthalpy of fusion:...
Specific heat of ice: 2.09 J/(g⋅∘C Specific heat of liquid water: 4.18 J/(g⋅∘C) Enthalpy of fusion: ΔHfus=334J Enthalpy of vaporization: ΔHvap=2250 J/g How much heat energy, in kilojoules, is required to convert 47.0 g of ice at −−18.0 ∘C∘C to water at 25.0 ∘C?
Using the vlues for the heat of fusion, specific heat of water, and/or heat of vaporization,...
Using the vlues for the heat of fusion, specific heat of water, and/or heat of vaporization, calculate the amount of heat energy in each of the following: A) Kilocalories needed to melt a 525g ice sculpture at 0 degrees C and to warm the liquid to 15.o degrees C. B) Kilojoules released when 85.0g of steam condenses at 100 degrees C, cools ad freezes at 0 degrees C. Please show the formula and how so I can understand. For some...
Using the values for the heat of fusion, specific heat of water, and/or heat of vaporization,...
Using the values for the heat of fusion, specific heat of water, and/or heat of vaporization, calculate the amount of heat energy in each of the following: A. Joules released when 125g of steam at 100 C condenses and cools to liquid at 15.0 C. B. Kilocalories needed to melt a 525-g ice sculpture at 0 C and to warm the liquid to 15.0 C C. Kilojoules released when 85.0 g of steam condenses at 100 C, cools, and freezes...
Find the latent heat value of the melting of the ice according to the following information:...
Find the latent heat value of the melting of the ice according to the following information: MCvessel = 23 cal / oC Cw = 1 cal / g.oC Mass of water = 163g Ice block = 18g Primary water temperature = 23oC The temperature of the mixture (water and ice) = 14oC
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT