11.5 Two ideal gas thermometers A and B use oxygen and hydrogen respectively. The following observations are made :
Temperature Pressure thermometer A Pressure thermometer B |
||
Triple-point of water |
1.250×105Pa |
0.200×105Pa |
Normal melting point of |
1.797×105Pa |
0.28×105Pa |
(a) What is the absolute temperature of normal melting point of sulphur as read by thermometers A and B?
(b) What do you think is the reason behind the slight difference in answers of thermometers A and B? (The thermometers are not faulty). What further procedure is needed in the experiment to reduce the discrepancy between the two readings?
Let the normal melting point of sulphur = T1
At this temperature, pressure in thermometer A, P1 = 1.797 × 105 Pa
According to Charles’ law,
PAT=P1T1
∴ T1=P1TPA=1.797×105×273.161.250×105= 392.69 K
Therefore, the absolute temperature of the normal melting point of sulphur as read by thermometer A is 392.69 K.
At triple point 273.16 K, the pressure in thermometer B, PB = 0.200 × 105 Pa
At temperature T1, the pressure in thermometer B, P2 = 0.287 × 105 Pa
According to Charles’ law,
PBT=P1T10.200×105273.16=0.287×105T1∴ T1=0.287×1050.200×105×273.16=391.98K
Therefore, the absolute temperature of the normal melting point of sulphur as read by thermometer B is 391.98 K.
The oxygen and hydrogen gas present in thermometers A and B respectively are not perfect ideal gases. Hence, there is a slight difference between the readings of thermometers A and B.
To reduce the discrepancy between the two readings, the experiment should be carried under low-pressure conditions. At low pressure, these gases behave as perfect ideal gases.
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