Question

Problem 8.8

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, ΔHfusion= 6010 Jmol−1, the density of ice is 920 kgm−3, and the density of liquid water is 997 kgm−3.

Part A

What pressure is required to lower the melting temperature by 3.7 ∘C?

Express your answer to three significant figures and include the appropriate units.

Part B

Assume that the width of the skate in contact with the ice has been reduced by sharpening to 19×10−3cm, and that the length of the contact area is 18 cm. If a skater of mass 80 kg is balanced on one skate, what pressure is exerted at the interface of the skate and the ice?

Express your answer to three significant figures and include the appropriate units.

Part C

What is the melting point of ice under this pressure?

Express your answer to two significant figures and include the appropriate units.

Tm =

Answer 1