The Rankine temperature scale used in engineering is to the Fahrenheit scale as the Kelvin scale is to the Celsius scale. That is, 1 Rankine degree is the same size as 1 Fahrenheit degree, and 0 °R = absolute zero. (a) What temperature corresponds to the freezing point of water on the Rankine scale?

Video transcript

All right. Hi, everyone. So this question says that the Ren Keen temperature scale is used in engineering and is to the Fahrenheit scale as the Kelvin scale is to the Celsius scale. That is one ranking degree is the same size as one °F degree and zero degrees are equals absolute zero. What temperature corresponds to the boiling point of ethanol? That's 78.37 °C on the rank scale. And here we have four different answer choices labeled A through D. So going back to the point here comparing the Kelvin scale and the Celsius scale recall that there is a direct conversion from degrees Celsius to Kelvin. However, there is no direct conversion from degrees Fahrenheit to Kelvin. The same applies with respect to the Rankin scale and the Fahrenheit scale because while there is a direct correlation or a direct conversion from degrees Fahrenheit into degrees R, there is no direct conversion from degrees Celsius to degrees R. So because the boiling point of ethanol was provided in degrees Celsius, we're going to first convert degrees Celsius to degrees Fahrenheit and then convert into the Rent Keens scale. So let's go ahead and do that recall first that we can find a temperature in degrees Fahrenheit by first multiplying the temperature in degrees Celsius by 9/5 and then adding 32 to that product. So first, let's take our temperature in degrees Celsius, that's 78.37 and multiply this by 9/5. And then we're going to add 32 to the previous product. And so this equals the temperature in degrees Fahrenheit, which is 173.066 °F. So now to convert this temperature in degrees Fahrenheit into degrees R, we're going to take the value in degrees Fahrenheit and add 459.67 to that value. So plugging in our previous temperature, right degrees are, is equal to 173.066 °F, add it to 459.67. And this equals our final answer which is 632.7 36 degrees R. Now rounding off the four significant figures, we get 632.7 degrees R and this matches option B in the multiple choice and there you have it. So here is our final answer. And with that being said, thank you so very much for watching. And I hope you found this helpful