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Question

a constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0 degree celcius and 100 degree celcius respectively. When the pressure reading is 60 cm of mercury, what will be the temperature?

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Solution

We know, when V is constant, P is proportional to T.

P = AT + B

When T = 0, P = 50 cm of mercury

=> 50 = 0 + B

=> B = 50

When T = 100, P = 90 cm of mercury

=> 90 = 100A + 50

=> A = 0.4

Now, when P = 60 cm of mercury

P = AT + B

=> 60 = (0.4)(T) + 50

=> T = 10/0.4 = 25 oC


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