Final answer:
Water at 90°C is not warmer than water at 202°F, but 40K does correspond to -40°C. Temperature differences of 25°F correspond to differences of 45°C, and differences of 10°C correspond to differences of 18°F. Also, 0°F corresponds to -18°C.
Step-by-step explanation:
Circle the true statements:
a) Water at 90°C is warmer than water at 202°F
This statement is false. When we convert 90°C to Fahrenheit, we get 194°F, which is lower than 202°F. So, water at 202°F is warmer.
b) 40K corresponds to -40°C
This statement is true. Both Kelvin and Celsius have the same scale increments, so 40K is equivalent to -40°C.
c) Temperature differing by 25 on the Fahrenheit scale must differ by 45 on the Celsius scale.
This statement is true. The Fahrenheit scale has a larger increment between degrees compared to the Celsius scale, so a temperature difference of 25°F corresponds to a difference of 45°C.
d) Temperatures which differ by 10 on the Celsius scale must differ by 18 on the Fahrenheit scale.
This statement is true. The ratio between degrees on the Celsius and Fahrenheit scales is 9/5, so a difference of 10°C corresponds to a difference of 18°F.
e) 0°F corresponds to -32°C.
This statement is true. When we convert 0°F to Celsius, we get -17.8°C, which can be approximated as -18°C. So, 0°F corresponds to -18°C.