Calculate the temperature at which technetium becomes superconducting in degrees Celsius. Round your answer to 5 significant figures.
Answer (2)
Convert the temperature from Kelvin to Celsius using the formula: T C = T K − 273.15 .
Substitute the given Kelvin temperature: T C = 11.2 − 273.15 = − 261.95 .
Round the result to 5 significant figures: -261.95.
The temperature at which technetium becomes superconducting in degrees Celsius is − 261.95 °C.
Explanation
Problem Analysis Technetium becomes superconducting at 11.2 K. We need to convert this temperature to degrees Celsius and round the result to 5 significant figures.
Conversion Formula To convert from Kelvin (K) to Celsius (°C), we use the formula: T C = T K − 273.15 where T C is the temperature in Celsius and T K is the temperature in Kelvin.
Calculation Substitute the given Kelvin temperature (11.2 K) into the formula: T C = 11.2 − 273.15 = − 261.95
Rounding to 5 Significant Figures The temperature in Celsius is -261.95 °C. We need to round this to 5 significant figures. Since the number already has 5 significant figures, no further rounding is needed.
Final Answer The temperature at which technetium becomes superconducting in degrees Celsius, rounded to 5 significant figures, is − 261.95 °C.
Examples
Understanding the superconducting properties of materials like Technetium is crucial in developing advanced technologies. For instance, in designing high-efficiency MRI machines, maintaining precise temperatures is vital. This problem demonstrates how to convert between Kelvin and Celsius scales, which is essential for controlling and monitoring the extreme cold required for superconductivity. Superconducting magnets, cooled to temperatures near absolute zero, enable the strong magnetic fields needed for detailed medical imaging, showcasing a practical application of temperature conversion in cutting-edge technology.
Technetium becomes superconducting at 11.2 K, which converts to -261.95 °C when calculated using the formula for temperature conversion. This result is rounded to five significant figures as -261.95 °C. Understanding this temperature is essential in the field of superconductivity for various technological applications.
;
