Assume all temperatures to be exact, and neglect significant figures for small c

Question

Assume all temperatures to be exact, and neglect significant figures for small changes in dimension. When lightning strikes, it can heat the air around it to more than 30000 K, five times the surface temperature of the Sun. What is this temperature on the Fahrenheit scale? Express your answer using five significant figures. What is this temperature on the Celsius scale? Express your answer using five significant figures. The temperature is sometimes reported to be 30000 degree C. Assuming that 30000 K is correct, what is the percentage error of this Celsius value?

Explanation / Answer

TK = 30000 K

TC = 30000 -273.15

TC = 29727 oC

Part A:

Tc = (TF - 32)*5/9

29727 = (TF -32)*5/9

TF = 53541 oF

Part B:   TC = 29727 oC

Part C:

error = (30000 -29727)*100%/29727

error = 0.092%

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