Chapter 38, Problem 5A

a.

Summary Introduction

To determine:

The amount of copper between $4$ and $\text{30 ppm}$ eaten if $\text{1000 kg}$ of potatoes are consumed.

Introduction:

The nutrients are the atoms, molecules, elements or the compounds required by the living organisms for their growth and development. The plants obtain nutrients from the soil or synthesize through photosynthesis. On the basis of requirements, the nutrients are of two types, namely micronutrients and macronutrients. The micronutrients are usually required in parts per million, whereas the macronutrients are required in somewhat larger amounts.

Explanation of Solution

The copper is the micronutrient which is required in ppm for the growth of the plant. The conversion of $\text{1000 kg}$ of potatoes to milligrams is shown below:

$\begin{array}{c}\text{1 kg }=\text{1,000,000 mg (milligrams)}\\ \text{1}\text{mg/kg (milligrams per kilogram)}=\text{1 ppm}\\ \text{1ppm}=\text{1 mg/kg}\\ \text{4 ppm in copper}=\text{4 mg/kg}\end{array}$

The amount of copper consumed by eating $1000\text{ kg}$ will be as follows:

$\begin{array}{c}\text{The amount of potatoes consumed}=\text{1000 kg}\\ \text{The amount of copper}=\text{4 mg/kg}\\ \text{The amount of copper in 1000 kg}=\text{4 mg/kg}\times \text{1000}\\ =\text{4000 mg}\end{array}$

$\begin{array}{c}\text{30 ppm in copper}=\text{30 mg/kg}\\ \text{The amount of copper}=\text{30 mg/kg}\\ \text{The amount of copper in 1000 kg}=\text{30 mg/kg}\times \text{1000}\\ =\text{30,000 mg}\end{array}$

b.

Summary Introduction

To determine:

The amount of zinc between $15$ and $\text{100 ppm}$ eaten if $\text{1000 kg}$ of potatoes are consumed.

Introduction:

The nutrients are the atoms, molecules, elements or the compounds required by the living organisms for their growth and development. The plants obtain nutrients from the soil or synthesize through photosynthesis. On the basis of requirements, the nutrients are of two types, namely micronutrients and macronutrients. The micronutrients are usually required in parts per million, whereas the macronutrients are required in somewhat larger amounts.

Explanation of Solution

The zinc is the micronutrient which is required in ppm for the growth of the plant. The conversion of $\text{1000 kg}$ of potatoes to milligrams is shown below:

$\begin{array}{c}\text{1 kg}=\text{1,000,000 mg}\\ \text{1}\text{mg/kg}=\text{1 ppm}\\ \text{1ppm}=\text{1 mg/kg}\\ \text{15 ppm in zinc}=15\text{ mg/kg}\end{array}$

The amount of zinc consumed by eating $1000\text{ kg}$ will be as follows:

$\begin{array}{c}\text{The amount of potatoes consumed}=\text{1000 kg}\\ \text{The amount of zinc}=15\text{ mg/kg}\\ \text{The amount of zinc in 1000 kg}=15\text{ mg/kg}\times \text{1000}\\ =15,\text{000 mg}\end{array}$

$\begin{array}{c}\text{100 ppm in zinc}=10\text{0 mg/kg}\\ \text{The amount of zinc}=10\text{0 mg/kg}\\ \text{The amount of zinc in 1000 kg}=10\text{0 mg/kg}\times \text{1000}\\ =10\text{0,000 mg}\end{array}$

c.

Summary Introduction

To determine:

The amount of potassium between $0.5$ to $6\%$ eaten if $\text{1000 kg (kilograms)}$ of potatoes are consumed.

Introduction:

The nutrients are the atoms, molecules, elements or the compounds required by the living organisms for their growth and development. The plants obtain nutrients from the soil or synthesize through photosynthesis. On the basis of requirements, the nutrients are of two types, namely micronutrients and macronutrients. The micronutrients are usually required in parts per million, whereas the macronutrients are required in somewhat larger amounts.

Explanation of Solution

The potassium is the micronutrient which is required in larger amounts for the growth of the plant. The conversion of $\text{1000 kg}$ of potatoes to milligrams is shown below:

$\begin{array}{c}\text{1 kg =1,000,000 mg }\\ \text{0}\text{.5\% of 1000 kg potatoes =}\frac{\text{0}\text{.5}}{\text{100}}\text{×1000}\\ \text{The amount of potassium consumed}=\text{5 kg}\\ \text{6\% of 1000 kg potatoes =}\frac{\text{6}}{\text{100}}\text{×1000}\end{array}$

$\text{The amount of potassium consumed}=\text{60}\text{kg}$

d.

Summary Introduction

To determine:

The amount of iron between $25$ and $\text{300 ppm}$ eaten if $\text{1000 kg}$ of potatoes are consumed.

Introduction:

The nutrients are the atoms, molecules, elements or the compounds required by the living organisms for their growth and development. The plants obtain nutrients from the soil or synthesize through photosynthesis. On the basis of requirements, the nutrients are of two types, namely micronutrients and macronutrients. The micronutrients are usually required in parts per million, whereas the macronutrients are required in somewhat larger amounts.

Explanation of Solution

The iron is the micronutrient which is required in ppm for the growth of the plant. The conversion of $\text{1000 kg}$ of potatoes to milligrams is shown below:

$\begin{array}{c}\text{1 kg}=\text{1,000,000 mg }\\ \text{1}\text{mg/kg}=\text{1 ppm}\\ \text{1ppm}=\text{1 mg/kg}\\ \text{25 ppm in iron}=25\text{ mg/kg}\end{array}$

The amount of iron consumed by eating $1000\text{ kg}$ will be as follows:

$\begin{array}{c}\text{The amount of potatoes consumed}=\text{1000 kg}\\ \text{The amount of iron}=25\text{ mg/kg}\\ \text{The amount of iron in 1000 kg}=25\text{ mg/kg}\times \text{1000}\\ =25,\text{000 mg}\end{array}$

$\begin{array}{c}\text{300 ppm in iron}=30\text{0 mg/kg}\\ \text{The amount of iron}=30\text{0 mg/kg}\\ \text{The amount of iron in 1000 kg}=30\text{0 mg/kg}\times \text{1000}\\ =30\text{0,000 mg}\end{array}$

Conclusion

The micronutrients are required in fewer amounts and the concentration is usually measured in ppm, whereas the macronutrients are required in larger amount and measured in percentage.