Question 44 of 49advanced🔧 ApplyNumerical5 marks

If the temperature of a liquid can be measured in Kelvin units as x K and in Fahrenheit units as y °F, the relation between the two systems of measurement of temperature is given by the linear equation y = 9/5(x - 273) + 32.

(i)

Find the temperature of the liquid in Fahrenheit if the temperature of the liquid is 313 K.

Answer

104 °F

(ii)

If the temperature is 158 °F, then find the temperature in Kelvin.

Answer

343 K

Explanation

The problem involves evaluating a given linear equation representing the relationship between temperature in Kelvin (x) and Fahrenheit (y). For part (i), we directly substitute the given Kelvin value into the equation to find the corresponding Fahrenheit value. For part (ii), we substitute the given Fahrenheit value and solve the resulting linear equation for the unknown Kelvin value.