Question

As a cold front moves through your area The outside temperature drops by 35° F what is the corresponding temperature change in a 80°C and b kelvins

Answer 1

The temperature drop in both Centigrade and Kelvin are the same:

`19.44^o\,C`, and
`19.44\,K`

Step-by-step explanation:

Start by converting 35 F and 0 F (the ends of the temp change) into Centigrades using the formula:

`T_C=(F-32)\,(5)/(9) \\T_C=(35-32)\,(5)/(9)\\T_C=3\,*(5)/(9)\\T_C= (15)/(9) \,C`

For 0 F:

`T_C=(0-32)\,(5)/(9) \\T_C=(-32)\,(5)/(9)\\T_C=-32\,*(5)/(9)\\T_C= -(160)/(9) \,C`

now, the difference of these two values is:

`(15)/(9) -(-(160)/(9) )=(175)/(9) \approx 19.44^o\,C`

Then if the temperature was
`80^o C`, then the new temperature is:

`80^o\,C - 19.44 ^o\,C = 60.56^o\,C`

And since the Kelvin scale differences are the same as the differences in the Centigrade scale, the temperature change in Kelvin is of the same magnitude:

`19.44\,K`