(a) Imagine you have two balls of pizza dough, each 16 cm in diameter. As shown in the figure on the right, one is rolled out to form a crust 1 cm thick and 50 cm in diameter. 16 cm 16 cm Both pieces of dough still have the same mass and volume, even though their shapes are very different. Both are baked in a 450°F oven for 20 minutes and removed. • Which has the greatest surface area for its volume, the crust or the ball?. • Which will cool faster?. Why? - Rule 1 of magma cooling: Circle the correct two choices in the following statement. A thin sheet of magma loses heat (faster/ slower) than a blob containing the same amount of magma. This is because the surface area available for cooling in the sheet is (larger/smaller) than the surface area available in a blob of the same volume. 50 cm I1 cm (b) Equal amounts of hot coffee are poured into a thin plastic cup and a Styrofoam cup. • Which cools faster, the coffee in the plastic cup or that in the Styrofoam cup?. (Hint: Which cup can you hold the longest before burning your fingers?) Explain.

Applications and Investigations in Earth Science (9th Edition)
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Chapter1: The Study Of Minerals
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EXERCISE 5.3
Interpreting Igneous Cooling History from Grain Size
Section:
Date:
Name:
Course:
Three simple thought experiments will help you understand how magma and lava cool and enable you to deduce two basic
rules that will allow you to interpret a rock's cooling history.
(a) Imagine you have two balls of pizza dough, each 16 cm in
diameter. As shown in the figure on the right, one is rolled
out to form a crust 1 cm thick and 50 cm in diameter.
Both pieces of dough still have the same mass and
volume, even though their shapes are very different. Both
are baked in a 45O°F oven for 20 minutes and removed.
16 cm
16 cm
• Which has the greatest surface area for its volume, the
crust or the ball? -
• Which will cool faster?.
Why? -
Rule 1 of magma cooling: Circle the correct two choices in the
following statement. A thin sheet of magma loses heat (faster/
slower) than a blob containing the same amount of magma.
This is because the surface area available for cooling in the
sheet is (larger/smaller) than the surface area available in a
blob of the same volume.
50 cm
I1 cm
(b) Equal amounts of hot coffee are poured into a thin plastic
cup and a Styrofoam cup.
• Which cools faster, the coffee in the plastic cup or that
in the Styrofoam cup? -
(Hint: Which cup can you hold the longest before burning your fingers?) Explain.
(continued)
5.2 INTERPRETING THE COOLING HISTORIES OF IGNEOUS ROCKS
115
Transcribed Image Text:EXERCISE 5.3 Interpreting Igneous Cooling History from Grain Size Section: Date: Name: Course: Three simple thought experiments will help you understand how magma and lava cool and enable you to deduce two basic rules that will allow you to interpret a rock's cooling history. (a) Imagine you have two balls of pizza dough, each 16 cm in diameter. As shown in the figure on the right, one is rolled out to form a crust 1 cm thick and 50 cm in diameter. Both pieces of dough still have the same mass and volume, even though their shapes are very different. Both are baked in a 45O°F oven for 20 minutes and removed. 16 cm 16 cm • Which has the greatest surface area for its volume, the crust or the ball? - • Which will cool faster?. Why? - Rule 1 of magma cooling: Circle the correct two choices in the following statement. A thin sheet of magma loses heat (faster/ slower) than a blob containing the same amount of magma. This is because the surface area available for cooling in the sheet is (larger/smaller) than the surface area available in a blob of the same volume. 50 cm I1 cm (b) Equal amounts of hot coffee are poured into a thin plastic cup and a Styrofoam cup. • Which cools faster, the coffee in the plastic cup or that in the Styrofoam cup? - (Hint: Which cup can you hold the longest before burning your fingers?) Explain. (continued) 5.2 INTERPRETING THE COOLING HISTORIES OF IGNEOUS ROCKS 115
EXERCISE 5.3
Interpreting Igneous Cooling History from Grain Size (continued)
Name:
Section:
Course:
Date:
Rule 2 of magma cooling: Circle the correct choice in the following statement. Magma loses heat much (faster/slower)
when exposed to air or water than it does when surrounded by other rock because wall rock is a good insulator.
(c) Consider two cubes of steel measuring 1 m on a side. One is cut in half in each dimension to make eight smaller cubes.
0.5 m
1m
1m
• What is the surface area of the large cube?
• Imagine that the large and small cubes are heated in a furnace to 500°C and removed. Which will cool faster, the
large cube or the smaller ones?-
• Explain why this happens.
cm² Of the eight small cubes?
cm?
Transcribed Image Text:EXERCISE 5.3 Interpreting Igneous Cooling History from Grain Size (continued) Name: Section: Course: Date: Rule 2 of magma cooling: Circle the correct choice in the following statement. Magma loses heat much (faster/slower) when exposed to air or water than it does when surrounded by other rock because wall rock is a good insulator. (c) Consider two cubes of steel measuring 1 m on a side. One is cut in half in each dimension to make eight smaller cubes. 0.5 m 1m 1m • What is the surface area of the large cube? • Imagine that the large and small cubes are heated in a furnace to 500°C and removed. Which will cool faster, the large cube or the smaller ones?- • Explain why this happens. cm² Of the eight small cubes? cm?
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