A day full of math games & activities. Find one near you.

If the temperature is 158° F, then find the temperature in Kelvin. If the temperature of a liquid can be measured in Kelvin units as x°K or 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

Solution:

Given, the temperature of a liquid in Kelvin units is x°K

The temperature of a liquid in Fahrenheit units is y°F

The relation between the two systems of measurement of temperature is given by the linear equation y = (9/5)(x - 273) + 32

We have to find the temperature in Kelvin if the temperature is 158° F

Given, y = 158° F

Substituting the value of y in the given relation,

158 = (9/5)(x - 273) + 32

158 - 32 = (9/5)(x - 273)

126(5/9) = x - 273

x - 273 = 14(5)

x - 273 = 70

x = 70 + 273

x = 343°K

Therefore, the temperature is 343°K

✦ Try This: If the temperature of a liquid can be measured in Kelvin units as x°K or in Fahrenheit units as y°F, the relation between the two systems of measurement of temperature is given by the linear equation y = (5/3)(x - 273) + 34. If the temperature is 170° F, then find the temperature in Kelvin

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.4 Problem 5(ii)

If the temperature is 158° F, then find the temperature in Kelvin. If the temperature of a liquid can be measured in Kelvin units as x°K or 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

Summary:

If the temperature of a liquid can be measured in Kelvin units as x°K or 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. If the temperature is 158° F, then the temperature in Kelvin is 343°K

☛ Related Questions: