Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

arrange the metamorphic rocks in order from highest grade to lowest gra…

Question

arrange the metamorphic rocks in order from highest grade to lowest grade.

Explanation:

Define metamorphic grade

Metamorphic grade refers to the intensity of metamorphism that has affected a rock, which is primarily determined by the temperatures and pressures the rock experienced during its formation. Higher temperatures and higher pressures correspond directly to a higher metamorphic grade.

Analyze the data for each rock

We examine the temperature and pressure values given in the table for each rock:

  • Rock 1: Temperature = \(300^\circ\text{C}\), Pressure = \(6\text{ kilobars}\)
  • Rock 2: Temperature = \(1,000^\circ\text{C}\), Pressure = \(18\text{ kilobars}\)
  • Rock 3: Temperature = \(600^\circ\text{C}\), Pressure = \(9\text{ kilobars}\)
  • Rock 4: Temperature = \(100^\circ\text{C}\), Pressure = \(5\text{ kilobars}\)

Compare and rank the conditions

Comparing both temperature and pressure values across the four rocks, we can establish a clear, consistent order from the most extreme conditions (highest grade) to the mildest conditions (lowest grade):

  1. Rock 2 has the highest temperature (\(1,000^\circ\text{C}\)) and highest pressure (\(18\text{ kilobars}\)).
  2. Rock 3 has the second highest temperature (\(600^\circ\text{C}\)) and pressure (\(9\text{ kilobars}\)).
  3. Rock 1 has the third highest temperature (\(300^\circ\text{C}\)) and pressure (\(6\text{ kilobars}\)).
  4. Rock 4 has the lowest temperature (\(100^\circ\text{C}\)) and lowest pressure (\(5\text{ kilobars}\)).

Determine the final sequence

Ordering the metamorphic rocks from highest grade to lowest grade yields:

$$\text{Rock 2} ightarrow \text{Rock 3} ightarrow \text{Rock 1} ightarrow \text{Rock 4}$$

Answer:

The correct sequence of the metamorphic rocks from highest grade to lowest grade is:

  1. Rock 2
  2. Rock 3
  3. Rock 1
  4. Rock 4