Some people think that ice skates slide on ice because ice melts at the pressure exerted by the skating person. Prove by calculation that such a statement is incorrect. Given student with 75kg mass who skates when the air temperature is -3°C. The edge of the ice skate is 28cm long and 3mm wide (the student stands on one leg). For the calculations, consider that the density of water changes from 1.00gcm^-3 to 0.92gcm^-3 while it freezes at 0°C at atmospheric pressure. Enthalpy of fusion for ice is 6kJmol^-1 and the molar mass is 18gmol^-1 (1)Calculate the pressure exerted by the student(weight, G=m x g, where g=9.81ms^-2 gravitational acceleration) (2)Calculate the melting point of ice at the given pressure by applying the Clapeyron equation (3)Compare the temperature of air and that of the calculated melting point and draw the conclusion
Some people think that ice skates slide on ice because ice melts at the pressure exerted by the skating person. Prove by calculation that such a statement is incorrect. Given student with 75kg mass who skates when the air temperature is -3°C. The edge of the ice skate is 28cm long and 3mm wide (the student stands on one leg). For the calculations, consider that the density of water changes from 1.00gcm^-3 to 0.92gcm^-3 while it freezes at 0°C at atmospheric pressure. Enthalpy of fusion for ice is 6kJmol^-1 and the molar mass is 18gmol^-1
(1)Calculate the pressure exerted by the student(weight, G=m x g, where g=9.81ms^-2 gravitational acceleration)
(2)Calculate the melting point of ice at the given pressure by applying the Clapeyron equation
(3)Compare the temperature of air and that of the calculated melting point and draw the conclusion
Step by step
Solved in 3 steps