Q. 13 聽A demented scientist creates a... [FREE SOLUTION]

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Chapter 18: Q. 13 (page 511)

A demented scientist creates a new temperature scale, the 鈥淶 scale.鈥� He decides to call the boiling point of nitrogen 0掳Z and the melting point of iron 1000掳Z.
a. What is the boiling point of water on the Z scale?
b. Convert 500掳Z to degrees Celsius and to kelvins.

Short Answer

Expert verified

a. The value of the boiling point of water on the Z scale is 170.7Z

b. The value of converting Convert 500掳Z to kelvins and to degrees Celsius is $671^{o} C$ and 944K

Step by step solution

Relation between the Z scale with celsius scale

The equation of relation between the Z scale with Celsius scale is

$T_{C} = x T_{Z} + y$

where the x and y are constant.

At the boiling point, the value of $T_{Z} = 0^{o} Z$ and $T_{C} = - 196^{o} C$

Applying all values

localid="1648466556502" $\begin{array}{rcl} T_{C} & = & x T_{Z} + y \\ - 196^{o} C & = & x (0 Z) + y \\ y & = & - 196^{o} C \end{array}$

At the melting point, the value of $T_{Z} = - 1000^{o} C$ and $T_{C} = 1538^{o} C$

Applying all values

localid="1648466873103" $\begin{array}{rcl} T_{C} & = & x T_{Z} + y \\ 1538^{o} C & = & x (1000 Z) - 196^{o} C \\ x & = & 1.734 \end{array}$

Applying all values

localid="1648466891752" $\begin{array}{rcl} T_{C} & = & x T_{Z} + y \\ T_{Z} & = & \frac{T_{C} - y}{x} \\ T_{Z} & = & {(\frac{100 + 196}{1.734})}^{o} C = 170.7 Z \end{array}$

Equationbetween the Z scale with celsius scale

At $T_{Z} = 500^{o} Z$

Applying the values

$\begin{array}{rcl} T_{C} & = & x T_{Z} + y \\ T_{C} & = & (1.734) T_{Z} - 196 \\ T_{C} & = & 671^{o} C \end{array}$

At kelvin point

Applying the value

role="math" localid="1648467049739" $\begin{array}{rcl} T_{K} & = & T_{C} + 273 \\ T_{K} & = & 671^{o} C + 273 \\ = & 944 K \end{array}$

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91影视

A demented scientist creates a new temperature scale, the 鈥淶 scale.鈥� He decides to call the boiling point of nitrogen 0掳Z and the melting point of iron 1000掳Z.
a. What is the boiling point of water on the Z scale?
b. Convert 500掳Z to degrees Celsius and to kelvins.

Short Answer

Step by step solution

Relation between the Z scale with celsius scale

Equationbetween the Z scale with celsius scale

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Modern Physics

Measurements

Electricity

Particle Model of Matter

Translational Dynamics

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91影视

A demented scientist creates a new temperature scale, the 鈥淶 scale.鈥� He decides to call the boiling point of nitrogen 0掳Z and the melting point of iron 1000掳Z.a. What is the boiling point of water on the Z scale?b. Convert 500掳Z to degrees Celsius and to kelvins.

Short Answer

Step by step solution

Relation between the Z scale with celsius scale

Equationbetween the Z scale with celsius scale

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Thermodynamics

Modern Physics

Measurements

Electricity

Particle Model of Matter

Translational Dynamics

Study anywhere. Anytime. Across all devices.

A demented scientist creates a new temperature scale, the 鈥淶 scale.鈥� He decides to call the boiling point of nitrogen 0掳Z and the melting point of iron 1000掳Z.
a. What is the boiling point of water on the Z scale?
b. Convert 500掳Z to degrees Celsius and to kelvins.