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Two samples of matter differ in temperature by 20°C. Describe

the difference in temperature of these two samples using the
Kelvin scale.

User RoyHB
by
3.7k points

2 Answers

4 votes

Final answer:

A 20°C temperature difference between two samples is equal to a 20 K difference in the Kelvin scale because the Kelvin and Celsius scales increase at the same rate.

Step-by-step explanation:

When describing the difference in temperature of two samples in terms of the Kelvin scale, we need to recognize that a °C difference remains the same in Kelvin because the size of the unit is identical. Therefore, if two samples have a 20°C temperature difference, they will also have a 20 K difference, since both scales rise at the same rate. It is important to note that the Kelvin scale does not use degrees but is rather expressed simply in kelvins. For example, if we have two samples at 10°C (283.15 K) and 30°C (303.15 K), the difference is 20°C or 20 K, even though their absolute temperatures are higher on the Kelvin scale.

User Knbibin
by
4.7k points
5 votes

Given :

Two samples of matter differ in temperature by 20°C.

To Find :

The difference in temperature of these two samples using the Kelvin scale.

Solution :

Let , initial and final temperature is
T_i and
T_f .

So ,
T_f-T_i=20^oC .

Now , temperature in kelvin is given by
(T_i+273) and
(T_f+273) .

So , difference between them is :


=(T_f+273)-(T_i+273)\\\\=T_f-T_i\\\\=20\ K

The difference in temperature of these two samples using the Kelvin scale is 20 K .

Therefore , the magnitude of difference in kelvin and Celsius is same .

Hence , this is the required solution .

User Griffith
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4.5k points