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A constant volume gas thermometer shows pressure reading of 50

Question

A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0 $^{0} C$ and 100 $^{0} C$ respectively. When the pressure reading is 60 cm of mercury, the temperature is:-

^{0} C

^{0} C

^{0} C

3 0^{0} C

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A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0

^{0} C

and 100

^{0} C

respectively. When the pressure reading is 60 cm of mercury, the temperature is:-

5 mins ago

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Text solutionVerified

Given,

Temperature $T_{1} = 0^{o} C$ and height $h_{1} = 50 c m$

Temperature $T_{2} = 100^{o} C$ and height $h_{2} = 90 c m$

$\frac{T - T _{1}}{h - h _{1}} = \frac{T _{2} - T _{1}}{h _{2} - h _{1}}$

$\frac{T - 0}{60 - 50} = \frac{100 - 0}{90 - 50}$

$T = 25^{o} C$

Hence, at $60 c m$ , temperature is $25^{o} C$

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Question Text	A constant volume gas thermometer shows pressure reading of 50 cm and 90 cm of mercury at 0 $^{0} C$ and 100 $^{0} C$ respectively. When the pressure reading is 60 cm of mercury, the temperature is:-
Answer Type	Text solution:1
Upvotes	153