164k views
4 votes
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

User Ortund
by
7.4k points

1 Answer

5 votes

Answer:

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

User Ben Leitner
by
7.5k points