Chapter 9, Problem 21PT

To determine

To calculate: To order the volcano eruption rates from greatest to least eruption rate

Answer to Problem 21PT

Volcanoes are arranged in order of greatest to least eruption rates:

Volcano	Date	Eruption rate
Bezymianny	1956	$2\times {10}^5$
Santa Maria	1902	$4\times {10}^4$
Agung	1963	$3\times {10}^4$
Mount St. Helens	1980	$2\times {10}^4$
Hekla	1947	$2\times {10}^4$
Helka	1970	$4\times {10}^3$
Naguruhoe	1975	$2\times {10}^3$

Explanation of Solution

Given information: Table showing the greatest amounts of lava in cubic meters per second that erupted from six volcanoes:

Volcano	Date	Eruption rate
Mount St. Helens	1980	$2\times {10}^4$
Naguruhoe	1975	$2\times {10}^3$
Helka	1970	$4\times {10}^3$
Agung	1963	$3\times {10}^4$
Bezymianny	1956	$2\times {10}^5$
Hekla	1947	$2\times {10}^4$
Santa Maria	1902	$4\times {10}^4$

Calculation:

Converting the eruption rates into standard form

Case1: Mount St. Helens in year 1980

Converting $2\times {10}^4$ into standard form

  $\Rightarrow 2\times {10}^4=20000$

Case2: Naguruhoein year 1975

Converting $2\times {10}^3$ into standard form

  $\Rightarrow 2\times {10}^3=2000$

Case3: Helkain year 1975

Converting $4\times {10}^3$ into standard form

  $\Rightarrow 4\times {10}^3=4000$

Case4: Agungin year 1963

Converting $3\times {10}^4$ into standard form

  $\Rightarrow 3\times {10}^4=30000$

Case5: Bezymiannyin year 1956

Converting $2\times {10}^5$ into standard form

  $\Rightarrow 2\times {10}^5=200000$

Case6: Heklain year 1947

Converting $2\times {10}^4$ into standard form

  $\Rightarrow 2\times {10}^4=20000$

Case7: Santa Mariain year 1902

Converting $4\times {10}^4$ into standard form

  $\Rightarrow 4\times {10}^4=40000$

Now, arranging in order of greatest to least eruption rate

Volcano	Date	Eruption rate
Bezymianny	1956	$2\times {10}^5$
Santa Maria	1902	$4\times {10}^4$
Agung	1963	$3\times {10}^4$
Mount St. Helens	1980	$2\times {10}^4$
Hekla	1947	$2\times {10}^4$
Helka	1970	$4\times {10}^3$
Naguruhoe	1975	$2\times {10}^3$

Conclusion:

Hence, volcanoes are arranged in order of greatest to least eruption rates.