A temperature scale … 3.5 on Celcius scale. Solved problem



A temperature scale of certain thermometer is given by the relation t = a ln p + b where a and b are constants and p is the thermometric property  of the fluid in the thermometer. If at the ice point and steam point the thermometric properties are found to be 1.5 and 7.5 respectively what will be the temperature corresponding to the thermometric property of 3.5 on Celcius scale.




A temperature scale of certain thermometer is given by the relation

t = a ln p + b

where a and b are constants and p is the thermometric property  of the fluid in the thermometer. If at the ice point and steam point the thermometric properties are found to be 1.5 and 7.5 respectively what will be the temperature corresponding to the thermometric property of 3.5 on Celcius scale.

A temperature scale of certain thermometer
A temperature scale of certain thermometer…




1. An artificial satellite revolves round the earth with a relative velocity of 800 m/s. If acceleration due to gravity id 9 m/s2 and gravitational force is 3600 N, calculate its kinetic energy.

2. The specific heat capacity of the system during a certain process is given by

cn = (0.4 + 0.004 T ) kJ/kg °C

If the mass of the gas is 6 kg and its temperature changes from 25°C to 125°C find:

(i) Heat transferred;

(ii) Mean specific heat of the gas.

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3. A temperature scale of certain thermometer is given by the relation

t = a ln p + b

where a and b are constants and p is the thermometric property  of the fluid in the thermometer. If at the ice point and steam point the thermometric properties are found to be 1.5 and 7.5 respectively what will be the temperature corresponding to the thermometric property of 3.5 on Celcius scale.

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4. A thermocouple with test junction at t°C on gas thermometer scale and reference junction at ice point gives the e.m.f. as

e = 0.20 t – 5 × 10-4 t2 mV.

The millivoltmeter is calibrated at ice and steam points. What will be the reading on this thermometer where the gas reads 70°C ?

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5. Comment whether the following quantities can be called as properties or not:

(i) ∫ pdV

(ii) ∫ Vdp and

(iii) ∫ pdV + ∫ Vdp

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