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प्रश्न
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 find the temperature in Kelvin.
योग
उत्तर
Given relation is `y = 9/5 (x - 273) + 32`
Given, y = 158°F, then from equation (i), we get
158 = `9/5 (x - 273) + 32`
⇒ 158 = `(9(x - 273) + 32 xx 5)/5`
⇒ `158 xx 5 = 9(x - 273) + 160`
⇒ 790 = `9(x - 273) + 160`
⇒ `790 - 160 = 9(x - 273)`
⇒ `9(x - 273)` = 630
⇒ `x = 273 = 630/9` = 70
⇒ `x - 273` = 70
∵ x = 70 + 273 = 343°K
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