General, Organic, & Biological Chemistry
General, Organic, & Biological Chemistry
3rd Edition
ISBN: 9780073511245
Author: Janice Gorzynski Smith Dr.
Publisher: McGraw-Hill Education
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Chapter 1, Problem 1.76P
Interpretation Introduction

(a)

Interpretation:

The given temperature 0K , 0°F and 0°C is to be ranked from lowest to highest.

Concept introduction:

Kelvin (K) is the S.I unit of temperature. One unit can be converted into another by the use of proper conversion factors.

The formula to convert temperature from degree Celsius to Kelvin is,

  T(K)=T(°C)+273.15   ........ (1)

The formula to convert temperature from degree Celsius to Fahrenheit is,

  T(°F)=95T(°C)+32 ...... (2)

Expert Solution
Check Mark

Answer to Problem 1.76P

The temperatures are ranked from lowest to highest.

  TemperatureRank0 K3°F2°C1

Explanation of Solution

To compare the temperature value, first, convert the temperature in a particular scale and then compare which would have a higher value.

All the given temperature should be converted into Celsius.

Rearrange equation (2) for T(°C) as follows:

  T(°C)=59(T(°F)32)

The value of T(°F) is 0°F.

Substitute T(°C) in the above expression.

  T(°C)=59(T( °F)32)=59(032)=17.77°C

Rearrange equation (1) for T(K) as follows:

  T(°C)=T(K)273.15

The value of T(K) is 0K.

Substitute T(K) in the above expression.

  T(°C)=T(K)273.15=0273.15=273.15°C

As compared to the temperature value among °C , 0K and °F , the temperature at °C would have a higher value as compared to the other temperature and the temperature at °F has a higher value than the temperature at 0K.

The temperatures are ranked from lowest to highest here, one is assigned to the highest temperature and three is assigned to the lowest temperature.

  TemperatureRank0 K3°F2°C1

Interpretation Introduction

(b)

Interpretation:

The given temperature 100K , 100°F and 100°C is to be ranked from lowest to highest.

Concept introduction:

Kelvin (K) is the S.I unit of temperature. One unit can be converted into another by the use of proper conversion factors.

The formula to convert temperature from degree Celsius to Kelvin is,

  T(K)=T(°C)+273.15   ........ (1)

The formula to convert temperature from degree Celsius to Fahrenheit is,

  T(°F)=95T(°C)+32 ...... (2)

Expert Solution
Check Mark

Answer to Problem 1.76P

The temperatures are ranked from lowest to highest.

  TemperatureRank100 K3100 °F2100 °C1

Explanation of Solution

To compare the temperature value, first, convert the temperature in a particular scale and then compare which would have a higher value.

All the given temperature should be converted into Celsius.

Rearrange equation (2) for T(°C) as follows:

  T(°C)=59(T(°F)32)

The value of T(°F) is 100°F.

Substitute T(°C) in the above expression.

  T(°C)=59(T( °F)32)=59(10032)=37.77°C

Rearrange equation (1) for T(K) as follows:

  T(°C)=T(K)273.15

The value of T(K) is 100K.

Substitute T(K) in the above expression.

  T(°C)=T(K)273.15=100273.15=173.15°C

As compared to the temperature value among 100 °C , 100 K and 100 °F , the temperature at 100 °C would have a higher value as compared to the other temperature and the temperature at 100 °F has a higher value than the temperature at 100 K.

The temperatures are ranked from lowest to highest here, 1 is assigned to the highest temperature and 3 is assigned to the lowest temperature.

  TemperatureRank100 K3100 °F2100 °C1

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Chapter 1 Solutions

General, Organic, & Biological Chemistry

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