Two thermometer x and y have ice points marked at 15°and 25°and steam point marked as 75°and125°.when thermometer x measure the temperature of a bath as 60°on it what would thermometer y read when it is used to measure the of the same bath
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Answered by
68
Answer:100C
Explanation:60-15/75=y-25/125
Solve for y and you will get y=100C
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Answered by
20
Thermometer y would read 100°C when it is used to measure the of the same bath.
For thermometer X,
Given the temperature of bath = 60°C
and, the ice point marked on 15°C
Again, steam point marked on 75°C
So, for X,
(Temp.of bath-Ice point)/(Steam point - Ice point) = constant
⇒(60°C - 15°C)/( 75°C - 15°C) = constant
⇒constant = 3/4
For thermometer X,
Let the temperature of bath = Y°C
and, the ice point marked on 25°C
Again, steam point marked on 125°C
So, for Y,
(Temp.of bath-Ice point)/(Steam point - Ice point) = constant
⇒(Y°C - 25°C)/( 125°C - 25°C) = 3/4
⇒(Y°C - 25°C) = (3/4)×100 = 75
⇒ Y = 75°C + 25°C = 100°C
This is the required temperature.
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