First slide

Temperature and heat-thermal properties of matter

Question

The pressure of hydrogen gas in a constant volume gas thermometer is $80 c m$ at $0^{0} C$ , 110 cm at $100^{0} C$ and $95 c m$ at unknown temperature ‘t’ then ‘t’ is equal to

Moderate

A

$50^{0} C$
B

$75^{0} C$
C

$95^{0} C$
D

$150^{0} C$

Solution

$i n a c o n s \tan t v o l u m e t h e r m o m e t e r, P_{t} = 95 i s p r e s s u r e a t t^{0} C; P_{o} = 80 i s p r e s s u r e a t 0^{0} C; P_{100} = 110 i s p r e s s u r e a t 100^{0} C t = (\frac{P_{t} - P_{o}}{P_{100} - P_{0}}) \times 100 s u b s t i t u t e t h e g i v e n v a l u e s i n a b o v e e q u a t i o n t = (\frac{95 - 80}{110 - 80}) \times 100 t = \frac{15}{30} \times 100 t = 50^{0} C$

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