Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
Question
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Chapter 11, Problem 6P

(a)

To determine

Find the temperature difference between oven and kitchen in degree Fahrenheit.

(a)

Expert Solution
Check Mark

Answer to Problem 6P

The temperature difference between oven and kitchen in degree Fahrenheit is 374F.

Explanation of Solution

Given data:

The oven temperature, TOven(Fo)=450F.

The kitchen temperature, TKitchen(Fo)=76F.

Calculation:

The expression to find temperature difference between oven and kitchen is,

ΔT(Fo)=TOven(Fo)TKitchen(Fo) (1)

Here,

TOven(Fo) is the temperature of oven in degree Fahrenheit, and

TKitchen(Fo) is the temperature of kitchen in degree Fahrenheit.

Substitute 450F for TOven(Fo), and 76F for TKitchen(Fo) in equation (1) to find ΔT(Fo),

ΔT(Fo)=(450F)(76F)ΔT(Fo)=374F

Therefore, the temperature difference between oven and kitchen in degree Fahrenheit is 374F.

Conclusion:

Hence, the temperature difference between oven and kitchen in degree Fahrenheit is 374F.

(b)

To determine

Find the temperature difference between oven and kitchen in degree Rankine.

(b)

Expert Solution
Check Mark

Answer to Problem 6P

The temperature difference between oven and kitchen in degree Rankine is 374R.

Explanation of Solution

Formula used:

The relationship between degree Rankine (Ro) and degree Fahrenheit (Fo) is,

T(Ro)=T(Fo)+460 (2)

Here,

T(Ro) is the temperature in degree Rankine, and

T(Fo) is the temperature in degree Fahrenheit.

Calculation:

Substitute 450Fo for T(Fo) in equation (2) to find oven temperature value in degree Rankine (Ro),

TOven(Ro)=450+460TOven(Ro)=910Ro

Substitute 76Fo for T(Fo) in equation (2) to find kitchen temperature value in degree Rankine (Ro),

TKitchen(Ro)=76+460TKitchen(Ro)=536Ro

The expression to find temperature difference between oven and kitchen in degree Rankine is,

ΔT(Ro)=TOven(Ro)TKitchen(Ro) (3)

Here,

TOven(Ro) is the temperature of oven in degree Rankine, and

TKitchen(Ro) is the temperature of kitchen in degree Rankine.

Substitute 910Ro for TOven(Ro), and 536Ro for TKitchen(Ro) in equation (3) to find ΔT(Ro),

ΔT(Ro)=(910Ro)(536Ro)ΔT(Ro)=374Ro

Conclusion:

Therefore, the temperature difference between oven and kitchen in degree Rankine is 374R.

(c)

To determine

Find the temperature difference between oven and kitchen in degree Celsius.

(c)

Expert Solution
Check Mark

Answer to Problem 6P

The temperature difference between oven and kitchen in degree Celsius is 207.8C.

Explanation of Solution

Formula used:

The relationship between degree Celsius (Co) and degree Fahrenheit (Fo) is,

T(Co)=59(T(Fo)32) (4)

Here,

T(Co) is the temperature in degree Rankine.

Calculation:

Substitute 450Fo for T(Fo) in equation (4) to find oven temperature value in degree Celsius (Co),

TOven(Co)=59(45032)TOven(Co)=232.2Co

Substitute 76Fo for T(Fo) in equation (4) to find kitchen temperature value in degree Celsius (Co),

TKitchen(Co)=59(7632)TKitchen(Co)=24.4Co

The expression to find temperature difference between oven and kitchen in degree Celsius is,

ΔT(Co)=TOven(Co)TKitchen(Co) (5)

Here,

TOven(Co) is the temperature of oven in degree Celsius, and

TKitchen(Co) is the temperature of kitchen in degree Celsius.

Substitute 232.2Co for TOven(Co), and 24.4Co for TKitchen(Co) in equation (5) to find ΔT(Co),

ΔT(Co)=(232.2Co)(24.4Co)ΔT(Co)=207.8Co

Therefore, the temperature difference between oven and kitchen in degree Celsius is 207.8C.

Conclusion:

Therefore, the temperature difference between oven and kitchen in degree Celsius is 207.8C.

(d)

To determine

Find the temperature difference between oven and kitchen in Kelvin.

(d)

Expert Solution
Check Mark

Answer to Problem 6P

The temperature difference between oven and kitchen in Kelvin is 207.8K.

Explanation of Solution

Formula used:

The relationship between degree Celsius (Co) and Kelvin is,

T(K)=T(Co)+273 (6)

Here,

T(K) is the temperature in Kelvin.

Calculation:

Substitute 232.2Co for T(Co) in equation (6) to find oven temperature value in Kelvin,

TOven(K)=232.2+273TOven(K)=505.2K

Substitute 24.4Co for T(Co) in equation (6) to find kitchen temperature value in Kelvin,

TKitchen(K)=24.4+273TKitchen(K)=297.4K

The expression to find temperature difference between oven and kitchen in Kelvin is,

ΔT(K)=TOven(K)TKitchen(K) (7)

Here,

TOven(K) is the temperature of oven in Kelvin,

TKitchen(K) is the temperature of kitchen in Kelvin.

Substitute 505.2K for TOven(K), and 297.4K for TKitchen(K) in equation (7) to find ΔT(K),

ΔT(K)=(505.2K)(297.4K)ΔT(K)=207.8K

Therefore, the temperature difference between oven and kitchen in Kelvin is 207.8K.

Conclusion:

Hence, the temperature difference between oven and kitchen in Kelvin is 207.8K.

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Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)

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