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Chapter 18: Q. 12 (page 511)

At what temperature does the numerical value in °F match the numerical value in °C?

Short Answer

Expert verified

The numerical value is $40^{o} C$

Step by step solution

01

Explanation of the relation between celsius and Fahrenheit

Equation of the relation between celsius and Fahrenheit is $T_{F} = \frac{9}{5} T_{c} + 32$

02

Relation between Celsius and Fahrenheit at the same temperature

At $T_{F} = T_{C}$

Applying the value

localid="1648466340006" $\begin{array}{rcl} T_{F} & = & \frac{9}{5} T_{c} + 32 \\ T_{c} & = & \frac{9}{5} T_{c} + 32 \\ T_{c} - \frac{9}{5} T_{c} & = & 32 \\ \frac{- 4}{5} T_{c} & = & 32 \\ T_{c} & = & - 40^{0} C \end{array}$

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Most popular questions from this chapter

A $6.0 c m - diameter, 10 c m - long$ cylinder contains $100 m g$ of oxygen (O₂) at a pressure less than $1 a t m$ . The cap on one end of the cylinder is held in place only by the pressure of the air. One day when the atmospheric pressure is $100 k P a$ , it takes a $184 N$ force to pull the cap off. What is the temperature of the gas?

A student is asked to sketch a pV diagram for a gas that goes

through a cycle consisting of (a) an isobaric expansion, (b) a

constant-volume reduction in temperature, and (c) an isothermal

process that returns the gas to its initial state. The student draws

the diagram shown in FIGURE Q18.12. What, if anything, is wrong

with the student’s diagram?

What is the temperature in $°$ F and the pressure in Pa at the triple point of (a) water and (b) carbon dioxide?

A gas is in a sealed container. By what factor does the gas pressure change if:

a. The volume is doubled and the temperature is tripled?

b. The volume is halved and the temperature is tripled?

The molecular mass of water (H2O) is A = 18. How many protons are there in 1.0 L of liquid water?

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