QuestionConvert $9.87 \times 10^{-30} \mathrm{ml}$ to liters in trillionths.

Studdy Solution

STEP 1

Assumptions1. The given volume is $9.87 \times10^{-30} \mathrm{ml}$ . We need to convert this volume to trillionths of a liter3.1 liter = $10^{3}$ milliliters4.1 trillionth of a liter = $10^{-12}$ liters

STEP 2

First, we need to convert the given volume from milliliters to liters. We can do this by dividing the volume in milliliters by1000.
$Volume\, in\, liters = Volume\, in\, milliliters /1000$

STEP 3

Now, plug in the given value for the volume in milliliters to calculate the volume in liters.
$Volume\, in\, liters =9.87 \times10^{-30} \mathrm{ml} /1000$

STEP 4

Calculate the volume in liters.
$Volume\, in\, liters =9.87 \times10^{-30} /1000 =9.87 \times10^{-33} \mathrm{l}$

STEP 5

Now, we need to convert the volume from liters to trillionths of a liter. We can do this by multiplying the volume in liters by $10^{12}$ .
$Volume\, in\, trillionths\, of\, a\, liter = Volume\, in\, liters \times10^{12}$

STEP 6

Now, plug in the calculated value for the volume in liters to calculate the volume in trillionths of a liter.
$Volume\, in\, trillionths\, of\, a\, liter =9.87 \times10^{-33} \mathrm{l} \times10^{12}$

STEP 7

Calculate the volume in trillionths of a liter.
$Volume\, in\, trillionths\, of\, a\, liter =9.87 \times10^{-33} \times10^{12} =9.87 \times10^{-21}$ So, $9.87 \times10^{-30} \mathrm{ml}$ is equal to $9.87 \times10^{-21}$ trillionths of a liter.

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