Question

The temperature in Berlin is $-{{7}^{0}}C$and the temperature in Istanbul is$-{{3}^{0}}C$.Sydney is 23 degree warmer than Berlin. Write down the temperature in Sydney.

Answer 1

Since in such types of questions conditions are given and we will apply that condition to find the correct temperature of that city, here in the question the required condition is given that Sydney is 23 degree warmer than Berlin. This temperature is given in degrees Celsius otherwise we have to convert it into the required unit.

Complete step-by-step solution:
Temperature is measured with the help of different scales and these scales are named as Celsius Scale; Fahrenheit Scale; Kelvin scale ;Reaumur Scale ;Rankine scale. The most commonly used scales are Celsius Scale; Fahrenheit Scale; Kelvin scale.
Since each temperature scale has different values of upper limit (Boiling Point) and lower limit(Freezing Point).
1. In degrees Celsius the lower limit of this scale is ${{0}^{0}}C$and the upper limit is ${{100}^{o}}C$ .
2. In Kevin Scale lower limit of this scale is $273K$and upper limit is $373K$.
3. In Fahrenheit Scale lower limit of this scale is ${{32}^{0}}F$and upper limit is ${{212}^{0}}F$.
4. In Reaumer Scale lower limit of this scale is ${{O}^{0}}R$and upper limit is ${{80}^{0}}R$.
5. In Rankine scale lower limit of this scale is$460Ra$and upper limit is $672Ra$.

Here given data of the question is ,
Temperature of Berlin $=-{{7}^{0}}C$
Temperature of Istanbul $=-{{3}^{0}}C$
It is given in degree Celsius.
Let us assume temperature of Berlin is represented by${{T}_{Berlin}}$and temperature of Istanbul is represented by${{T}_{Is\tan bul}}$ respectively.
So, it can be written as
${{T}_{Berlin}}=-{{7}^{0}}C$
${{T}_{Is\tan bul=}}-{{3}^{0}}C$
Let us assume temperature of Sydney which we have to calculate is represented as${{T}_{Sydney}}$.
Here the condition is given that Sydney is 23 degree warmer than Berlin.
This temperature is also given in degree Celsius because when units are not defined then its unit becomes same as other temperature unit given in the question so we can add them without changing its unit.
So temperature of Sydney becomes,
${{T}_{Sydney}}=23+{{T}_{Berlin}}$

& \Rightarrow {{T}_{Sydney}}=23+(-7) \\\ & \therefore {{T}_{Sydney}}={{16}^{0}}C \\\ \end{aligned}$$. So the temperature of Sydney is 16 degree Celsius. **Note:** The energy associated with configuration and random motion of the atoms and molecules within a body is called internal energy (temperature) of that body and the part of this internal energy which is transferred from one body to the other due to temperature difference is called heat.