P8.3 It has been suggested that the surface melting of ice plays a role in enabling speed skaters to achieve peak performance. Carry out the following calculation to test this hypothesis. At 1 atm pressure, ice melts at 273.15 K, Afus H = 6010 J mol-, density of ice is 920. kg m-³, and the density of liquid water is 997 kg m3. a. What pressure is required to lower the melting temperature by 3.50°C? the b. Assume that the width of the skate in contact with the ice has been reduced by sharpening to 18.0 x 10-3 cm and that the length of the contact area is 17.5 cm. If a skater of mass 78 kg is balanced on one skate, what pressure is exerted at the interface of the skate and the ice? c. What is the melting point of ice under this pressure? d. If the temperature of the ice is -3.50°C, do you expect melting of the ice at the inter

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Chapter9: Liquids And Solids
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P8.3 It has been suggested that the surface melting of ice plays a role in enabling speed
skaters to achieve peak performance. Carry out the following calculation to test this
hypothesis. At 1 atm pressure, ice melts at 273.15 K, Afus H = 6010 J mol¬', the
density of ice is 920. kg m¯³, and the density of liquid water is 997 kg m
a. What pressure is required to lower the melting temperature by 3.50°C?
-3
-3
b. Assume that the width of the skate in contact with the ice has been reduced by
sharpening to 18.0 × 10¬3 cm and that the length of the contact area is 17.5 cm.
If a skater of mass 78 kg is balanced on one skate, what pressure is exerted at
the interface of the skate and the ice?
c. What is the melting point of ice under this pressure?
d. If the temperature of the ice is –3.50°C, do you expect melting of the ice at the
ice-skate interface to occur?
Transcribed Image Text:P8.3 It has been suggested that the surface melting of ice plays a role in enabling speed skaters to achieve peak performance. Carry out the following calculation to test this hypothesis. At 1 atm pressure, ice melts at 273.15 K, Afus H = 6010 J mol¬', the density of ice is 920. kg m¯³, and the density of liquid water is 997 kg m a. What pressure is required to lower the melting temperature by 3.50°C? -3 -3 b. Assume that the width of the skate in contact with the ice has been reduced by sharpening to 18.0 × 10¬3 cm and that the length of the contact area is 17.5 cm. If a skater of mass 78 kg is balanced on one skate, what pressure is exerted at the interface of the skate and the ice? c. What is the melting point of ice under this pressure? d. If the temperature of the ice is –3.50°C, do you expect melting of the ice at the ice-skate interface to occur?
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