Q6P Question: (a) In 1964, the tempe... [FREE SOLUTION]

91影视

Chapter 18: Q6P (page 541)

Question: (a) In 1964, the temperature in the Siberian village of Oymyakon reached. $- 71 掳 C$ .What temperature is this on the Fahrenheit scale?
(b) The highest officially recorded temperature in the continental United States was $134 掳 F$ in Death Valley, California. What is this temperature on the Celsius scale?

Short Answer

Expert verified

a)The temperature on the Fahrenheit scale is $- 95.8 掳 F$
b) The temperature on the Celsius scale is $56.7 掳 C$

Step by step solution

The given data

a)The Celsius temperature, $T_{C} = - 71 掳 C$
b) The Fahrenheit temperature, $T_{F} = 134 掳 C$

Determine the concept of temperature scale conversion

By using the relation between the Celsius and Fahrenheit scales, find the temperature on the Fahrenheit scale and the highest temperature on the Celsius scale.

Formula:

The Fahrenheit temperature scale relation to the Celsius temperature,

$T_{C} = \frac{9}{5} T_{C} + 32$ 鈥︹赌�(颈)

The Celsius to Fahrenheit scale temperature conversion:

$T_{C} = \frac{5}{9} 脳 T_{F} - 32 . . . . . . . . (i i)$

a) Calculate the Fahrenheit temperature

Here, the Celsius temperature scale is given as: $T_{C} = - 71 掳 C$ . Using the relation between Fahrenheit and Celsius from equation (i), get the temperature value as:
$T_{F} = \frac{9}{5} 脳 (- 71) + 32$
Hence, the temperature on the Fahrenheit scale is $- 95.8 掳 F$

b) Determine the celsius temperature

Consider the Celsius temperature from the one given Fahrenheit temperature. From equation (ii) and using $T_{F} = 134 掳 F$ , we get the temperature value as:
$T_{C} = \frac{5}{9} 脳 134 - 32 = 56.7 掳 C$