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1.2

Expert-verifiedFound in: Page 5

Book edition
1st

Author(s)
Daniel V. Schroeder

Pages
356 pages

ISBN
9780201380279

The Rankine temperature scale(abbreviated $\xb0R$) uses the same scale size degrees as Fahrenheit, but measured up from absolute zero like Kelvin(so Rankine is to Fahrenheit as Kelvin is to Celsius). Find the conversion formula between Rankine and Fahrenheit and also between Rankine and Kelvin. What is the room temperature on the Rankine scale?

R = $\frac{9}{5}K$ and R = 536.67$\xb0R$

The conversion equation for Kelvin to Celsius is,

K = C + 273.15 -----------(1)

and similarly conversion equation for Rankine to Fahrenheit is,

R = F + 459.67 -----------(2)

But we know that, F = $\frac{9}{5}C+32$

substituting this in equation (2),

R = $\frac{9}{5}C+491.67$

substituting C from equation (1), we get,

R = $\frac{9}{5}K$

The room temperature in Kelvin scale will be 25 + 273.15 = 298.15K

Applying the conversion formula of Kelvin to Rankine scale, we get,

R = $\frac{9}{5}(298.15)$

R = 536.67$\xb0R$

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