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The city of Yellowknife in the Northwest Territories of Canada is on the shore of Great Slave Lake. The average high temperature in July is \(21^{\circ} \mathrm{C}\) and the average low in January is \(-31{ }^{\circ} \mathrm{C}\). Great Slave Lake has a volume of \(2090 \mathrm{~km}^{3}\) and is the deepest lake in North America, with a depth of \(614 \mathrm{~m} .\) What is the temperature of the water at the bottom of Great Slave Lake in January? a) \(-31^{\circ} \mathrm{C}\) b) \(-10^{\circ} \mathrm{C}\) c) \(0^{\circ} \mathrm{C}\) d) \(4^{\circ} \mathrm{C}\) e) \(32^{\circ} \mathrm{C}\)

Short Answer

Expert verified
Answer: d) 4°C

Step by step solution

01

Identify the constant temperature at the bottom of deep lakes

The temperature at the bottom of deep lakes generally remains constant throughout the year at around \(4^{\circ} \mathrm{C}\).
02

Find the temperature at the bottom of Great Slave Lake in January

Since the temperature at the bottom of deep lakes remains constant, we know that the temperature at the bottom of Great Slave Lake in January is also around \(4^{\circ} \mathrm{C}\).
03

Choose the correct answer

The correct answer is the one that has a temperature of \(4^{\circ} \mathrm{C}\). Looking at the options, we find that the correct answer is: d) \(4^{\circ} \mathrm{C}\)

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Most popular questions from this chapter

You are building a device for monitoring ultracold environments. Because the device will be used in environments where its temperature will change by \(200 .{ }^{\circ} \mathrm{C}\) in \(3.00 \mathrm{~s}\), it must have the ability to withstand thermal shock (rapid temperature changes). The volume of the device is \(5.00 \cdot 10^{-5} \mathrm{~m}^{3}\), and if the volume changes by \(1.00 \cdot 10^{-7} \mathrm{~m}^{3}\) in a time interval of \(5.00 \mathrm{~s}\), the device will crack and be rendered useless. What is the maximum volume expansion coefficient that the material you use to build the device can have?

Some textbooks use the unit \(\mathrm{K}^{-1}\) rather than \({ }^{\circ} \mathrm{C}^{-1}\) for values of the linear expansion coefficient; see Table \(17.2 .\) How will the numerical values of the coefficient differ if expressed in \(\mathrm{K}^{-1}\) ?

A copper cube of side length \(40 . \mathrm{cm}\) is heated from \(20 .{ }^{\circ} \mathrm{C}\) to \(120{ }^{\circ} \mathrm{C} .\) What is the change in the volume of the cube? The linear expansion coefficient of copper is \(17 \cdot 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\)

At \(26.45^{\circ} \mathrm{C},\) a steel bar is \(268.67 \mathrm{~cm}\) long and a brass bar is \(268.27 \mathrm{~cm}\) long. At what temperature will the two bars be the same length? Take the linear expansion coefficient of steel to be \(13.00 \cdot 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\) and the linear expansion coefficient of brass to be \(19.00 \cdot 10^{-6}{ }^{\circ} \mathrm{C}^{-1}\).

A building having a steel infrastructure is \(6.00 \cdot 10^{2} \mathrm{~m}\) high on a day when the temperature is \(0.00^{\circ} \mathrm{C} .\) How much taller is the building on a day when the temperature is \(45.0^{\circ} \mathrm{C}\) ? The linear expansion coefficient of steel is \(1.30 \cdot 10^{-5}{ }^{\circ} \mathrm{C}^{-1}\).

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