Q. 2.51 - 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) A calcium supplement contains $630$ mg of calcium per tablet.

(b) The Daily Value (DV) for vitamin C is $60$ mg.

(c) The label on a bottle reads $50$ mg of atenolol per tablet.

(d) A low-dose aspirin contains $81$ mg of aspirin per tablet. 

Step-by-Step Solution

Answer

(a) A calcium supplement contain three significant figures and one exact and $1 tablet =630mg$ of calcium.

(b) The Daily Value for vitamin C contain two significant figures and one exact and $1 tablet =60mg$ of Vitamin C.

(c) The atenolol contain two significant figures and one exact and $1 tablet =50mg$ of atenolol.
(d) A low dose aspirin contain two significant figures and one exact and $1 tablet =81mg$ of aspirin.

Part (a) Step 1: Given Information

We are given that a calcium supplement contains $630$ mg of calcium per tablet and we have to find out equality and two conversion factors and significant figures.

Part (a) Step 2: Explanation

According to given information $630 mg$of calcium per tablet is present

which states that Equality is,

$1$ tablet $=630 mg$ of calcium.

and now two conversion factors are,

$\frac{630 mg calcium}{1 tablet}$ and $\frac{1 tablet}{630 mg calcium}$.

The significant figures or exact are,

as $630 mg$ of calcium has three significant answers and $1$ tablet is exact.

Part (b) Step 1: Given Information

We are given that the Daily Value (DV) for vitamin C is $60$ mg and we have to find out equality and two conversion factors and significant figures.

Part (b) Step 2: Explanation

According to given information $60$of Vitamin C is DV.

which states that Equality is,

$1$ tablet $=60mg$ Vitamin C

and now two conversion factors are,

 $\frac{60 mg Vitamin C}{1tablet}$and $\frac{1 tablet}{60 mg Vitamin C}$.

The significant figures or exact are,

as $60 mg$ Vitamin C has two significant answers and $1$ tablet is exact.

Part (c) Step 1: Given Information

We are given that the label on a bottle reads 50 mg of atenolol per tablet and we have to find out equality and two conversion factors and significant figures. 

Part (c) Step 2: Explanation

According to given information $50 mg$of atenolol per tablet.

which states that Equality is,

$1$ tablet $= 50 mg$ of atenolol

and now two conversion factors are,

 $\frac{50 mg of atenolol}{1 tablet}$and $\frac{1 tablet}{50 mg of atenolol}$.

The significant figures or exact are,

as $50 mg$ Vitamin C has two significant answers and $1$ tablet is exact.

Part (d) Step 1: Given Information

We are given that a low-dose aspirin contains $81$ mg of aspirin per tablet and we have to find out equality and two conversion factors and significant figures.

Part (d) Step 2: Explanation

According to given information $81 mg$of aspirin per tablet.

which states that Equality is,

$1$ tablet $= 81mg$ of aspirin

and now two conversion factors are,

  $\frac{81 mg of aspirin}{1 tablet}$and $\frac{1 tablet}{81 mg of aspirin}$.

The significant figures or exact are,

as $81$ Vitamin C has two significant answers and $1$ tablet is exact.