Q. 2.52 - An Introduction to General, Organic, and Biological Chemistry

Question

Write the equality and two conversion factors, and identify the numbers as exact or give the number of significant figures for each of the following: 

(a) The label on a bottle reads $10$ mg of furosemide per $1$ mL .

(b) The Daily Value (DV) for selenium is $70$ mcg.

(c) An IV of normal saline solution has a flow rate of $85$ mL per hour.  

(d) One capsule of fish oil contains $360$ mg of omega-$3$ fatty acids. 

Step-by-Step Solution

Answer

(a) The label on bottle have two significant figures and 1 exact and $1$mL $=10 mg$ of furosemide.

(b) The Daily Value for selenium contain two significant figures and one exact and $1 tablet=70mcg$ of selenium.

(c) An IV of normal saline solution  contain two significant figures and one exact and $1 hour=85mL$ flow rate.
(d) One capsule of fish oil contain two significant figures and one exact and $1 capsule=360mg$ of omega-$3$ fatty acids.

Part (a) Step 1: Given Information

We are given that the label on a bottle reads $10$ mg of furosemide per $1$mL  and we have to find out equality and two conversion factors and significant figures.

Part (a) Step 2: Explanation

According to given information $10 mg$ of furosemide per $1$ mL is present

which states that Equality is,

$1$ tablet $= 10mg$ of furosemide.

and now two conversion factors are,

$\frac{10 mg of furosemide}{1 tablet}$ and $\frac{1 tablet}{10 mg of furosemide}$.

The significant figures or exact are,

as $10 mg$ of calcium has two significant answers and $1$ mL is exact.

Part (b) Step 1: Given Information

We are given that the Daily Value (DV) for selenium is $70$ mcg and we have to find out equality and two conversion factors and significant figures.

Part (b) Step 2: Explanation

According to given information $70 mcg$of selenium is DV.

which states that Equality is,

$1$ tablet $= 70mcg$ of selenium.

and now two conversion factors are,

 $\frac{70 mcg of selenium}{1 tablet}$and $\frac{1 tablet}{70 mcg of selenium}$.

The significant figures or exact are,

as $70 mcg$ selenium has two significant answers and $1$ tablet is exact.

Part (c) Step 1: Given Information

We are given that an IV of normal saline solution has a flow rate of $85$ mL per hour and we have to find out equality and two conversion factors and significant figures.

Part (c) Step 2: Explanation

According to given information $85mL$per hour is the flow rate.

which states that Equality is,

$1 hour$ $=85mL$ 

and now two conversion factors are,

 $\frac{85 mL}{1 hour}$and $\frac{1 hour}{85 mL}$.

The significant figures or exact are,

as $85 mL$ flow rate has two significant answers and $1$ hour is exact.

Part (d) Step 1: Given Information

We are given that one capsule of fish oil contains $360$ mg of omega-$3$ fatty acids and we have to find out equality and two conversion factors and significant figures.

Part (d) Step 2: Explanation

According to given information $360 mg$of omega-$3$ fatty acids per capsule.

which states that Equality is,

$1$ capsule $= 360mg$ of omega-$3$ fatty acids

and now two conversion factors are,

$\frac{360 mg of omega-3 fatty acids}{1 capsule}$ and $\frac{1 capsule}{360 mg of omega-3 fatty acids}$.

The significant figures or exact are,

as $360 mg$  of omega-$3$ fatty acids has three significant answers and $1$ capsule is exact.