Given that the density of gold is 19 .3 g/cm 3 , calculate the volume ( in cm 3 ) of a gold nugget with a mass of 5.98 g. ( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3

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Answer 1

Textbook Question

Chapter 1, Problem 1KSP

Given that the density of gold is $19 .3 g/cm 3$ , calculate the volume $( in cm 3 )$ of a gold nugget with a mass of 5.98 g.

$( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3$

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

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Answer 2

Textbook Question

Chapter 1, Problem 1KSP

Given that the density of gold is $19 .3 g/cm 3$ , calculate the volume $( in cm 3 )$ of a gold nugget with a mass of 5.98 g.

$( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3$

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

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Answer 3

Textbook Question

Chapter 1, Problem 1KSP

Given that the density of gold is $19 .3 g/cm 3$ , calculate the volume $( in cm 3 )$ of a gold nugget with a mass of 5.98 g.

$( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3$

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

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Answer 4

Textbook Question

Chapter 1, Problem 1KSP

Given that the density of gold is $19 .3 g/cm 3$ , calculate the volume $( in cm 3 )$ of a gold nugget with a mass of 5.98 g.

$( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3$

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

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Answer 5

Textbook Question

Answer 6

Textbook Question

Answer 7

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

Answer 8

Expert Solution & Answer

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

Answer 9

Expert Solution & Answer

Answer 10

Expert Solution & Answer

Answer 11

Interpretation Introduction

Interpretation:

The volume (in $cm3$ ) of the gold nugget with given massis to be determined.

Concept Introduction:

The relationship between density, volume, and mass is as:

$d=mV$ …… (1)

Here, $d$ is the density, $V$ is the volume,and $m$ is the mass of the given sample.

Density is defined as the ratio of mass of the sample to its volume. It is generally expressed in $gcm3$ .

Answer 12

Answer to Problem 1KSP

Correct answer:

The volume of the given gold nugget is $0.310 cm3$ . Thus, option (d) is correct.

Answer 13

Explanation of Solution

Reason for correct option:

Use equation (1) to calculate the density of the gold nugget as follows:

$d=mV$

Now, rearrange equation (1) so that the volume of the gold nugget is calculated as:

$V=md$

Substitute, $19.3 gcm3$ for density $(d)$ and $5.98 g$ for mass $(m)$ in the above equation as:

$V=5.98 g19.3 gcm3=0.30984 cm3≈0.310 cm3$

Hence, option (d) is correct.

Reasons for incorrect options:

Option (a) is incorrect because according to the above calculation, the value $3.23 cm3$ cannot be obtained. So, it is a wrong answer.

Option (b) is incorrect because according to the above calculation, the value $5.98 cm3$ cannot be obtained. So, it is a wrong answer.

Option (c) is incorrect because according to the above calculation, the value $115 cm3$ cannot be obtained. So, it is a wrong answer.

Option (e) is incorrect because according to the above calculation, the value $13.3 cm3$ cannot be obtained. So, it is a wrong answer.

Hence, options ( a), (b), (c), and (e) are incorrect.

Answer 14

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Given that the density of gold is 19 .3 g/cm 3 , calculate the volume ( in cm 3 ) of a gold nugget with a mass of 5.98 g. ( a ) 3 .23 cm 3 ( b ) 5 .98 cm 3 ( c ) 115 cm 3 ( d ) 0 .310 cm 3 ( e ) 13 .3 cm 3

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