Question

Calculate the unknown temperature in each of the following:

a. $25°C=\_\_\_\_\_\_\_\_°F$

b.${155}^{\circ }\mathrm{C}=\_\_\_\_\_\_°F$

c.$-{25}^{\circ }F=\_\_\_\_\_\_°C$

d.${224}^{}K=\_\_\_\_\_\_\_°C$

e.${145}^{\circ }\mathrm{C}=\_\_\_\_\_\_K$

Short answer

a.${25}^{\circ }\mathrm{C}=77°F$

b.${155}^{\circ }\mathrm{C}=311°F$

c. $-{25}^{\circ }F=-31.7°C$

d.${224}^{}K=-49°C$

e.${145}^{\circ }\mathrm{C}=418K$

Step-by-step solution

Given Information (a)

(a) The unknown temperature of$25°C$

Explanation (a)

The smaller units by which the temperature difference between the freezing $(0°C)$and therefore the boiling points$(100°C)$of water are divided are called degrees.

Let us determine the conversion of ${25}^{\circ }\mathrm{C}$into ${}^{\circ }\mathrm{F}$. Thefactor is as follows:
$T_{\mathrm{F}}=1.8\left(T_{\mathrm{C}}\right)+32$
Substitute the Celsius temperaturewithin the equation.
$T_{\mathrm{F}}=1.8\left(25\right)+32$

$={77}^{\circ }\mathrm{F}$

Therefore, the temperatureare as follows:

${25}^{\circ }\mathrm{C}={77}^{\circ }\mathrm{F}$

Given Information (b)

The unknown temperature of$115°C$

Explanation (b)

Let us determine the conversion of $155°C$into $°F$ . The factor is as follows:

The factor is as follows:

$T_{\mathrm{F}}=1.8\left(T_{\mathrm{c}}\right)+32$

Substitute the Celsius temperature within the equation.

$T_{\mathrm{F}}=1.8\left(155\right)+32$

$T_{\mathrm{F}}=311°F$

Therefore, the temperature in kelvinare going to be $311°F$

Given information (c)

The unknown temperature$-25°F$

Explanation (c)

(c) Determine the conversion of $-25°F$into $°C$

The factor is as follows:

$T_{\mathrm{F}}=1.8\left(T_{\mathrm{c}}\right)+32$

Substitute the Fahrenheit temperature within the equation.

$-25=1.8\left(T_{\mathrm{c}}\right)+32$

$1.8\left(T_{\mathrm{c}}\right)=-25-32$

$1.8\left(T_{\mathrm{c}}\right)=-57$

$T_{\mathrm{c}}=-{31.7}^{\circ }C$

Therefore, the temperature in kelvin are$-31.7°C$

Given Information (d)

The unknown temperature of$224K$

Explanation (d)

(d) Convert the temperature of $224K$into $°C$as shown below:
The factor is as follows:

$T_{\mathrm{K}}=T_{\mathrm{C}}+273$

Substitute the Kelvin temperature in the equation

$224=T_c+273$

role="math" $T_C=-{49}^{\circ }\mathrm{C}$

Therefore the temperature is$-{49}^{\circ }\mathrm{C}$

Given Information (e)

The unknown temperature of$145°C$

Explanation (e)

(e) We must convert the temperature from $145°C$into kelvin. The conversion factor is as follows:

role="math" $T_{\mathrm{K}}=T_{\mathrm{c}}+273$

Substitute the Celsius temperature in the equation

$T_{\mathrm{K}}=145+273$

$T_{\mathrm{K}}=418K$

Therefore, the kelvin temperature will be$418K$