Question

The temperature of a metal rose from ${30^o}C$ to ${90^o}C$ . What is the change in temperature of metal on the Fahrenheit scale?
$(A)60{}^oF$
$(B)54{}^oF$
$(C)108{}^oF$
$(D)81{}^oF$

Answer 1

Temperature is defined as the degree or the intensity of heat which is present in a substance or body. It is expressed according to the comparative scale. To increase the temperature of any substance, we provide it with heat and to decrease or lower down the temperature, we cool the substance.

Complete answer:
Temperature is defined as the degree or the intensity of heat which is present in a substance or body. It is expressed according to the comparative scale. To increase the temperature of any substance, we provide it with heat and to decrease or lower down the temperature, we cool the substance.
So, the temperature of any substance or object can be measured using an instrument called a thermometer. Now we know that the temperature can be measured in different units such as degree Celsius, Fahrenheit and kelvin.
Now, in this question, we are given that the temperature changes from ${30^o}C$ to ${90^o}C$ .
The temperature is given in Celsius scale and we need to convert it into Fahrenheit scale.
$T({}^oF) = (1.8 \times T({}^oC)) + 32$
For ${30^o}C$ :
$(1.8 \times 30) + 32 = {86^o}F$
For ${90^o}C$ :
$(1.8 \times 90) + 32 = {194^o}F$
The change in temperature is given as:
$194{}^oF - 86{}^oF = 108{}^oF$
Hence, the correct option is $(C)108{}^oF$ .

Note:
As we have converted the temperature given according to the Celsius scale into the Fahrenheit scale. We can also convert the temperature in degrees Celsius into the temperature in the Kelvin scale and this conversion can be done by just adding $273$ into the temperature given in the Celsius scale.