Question 5 of 20intermediate🔧 ApplyNumerical4 marks

Two ideal gas thermometers A and B use oxygen and hydrogen respectively. The following observations are made:

TemperaturePressure thermometer APressure thermometer B
Triple-point of water1.250×1051.250 \times 10^5 Pa0.200×1050.200 \times 10^5 Pa
Normal melting point of sulphur1.797×1051.797 \times 10^5 Pa0.287×1050.287 \times 10^5 Pa
(a)

What is the absolute temperature of normal melting point of sulphur as read by thermometers A and B?

Answer

Temperature read by Thermometer A = 392.69 K. Temperature read by Thermometer B = 391.98 K.

(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?

Answer

The slight difference arises because oxygen and hydrogen are real gases, not ideal gases. They deviate slightly from ideal gas behaviour. To reduce the discrepancy, the experiment should be conducted at lower gas densities (lower pressures), as all gases at low densities exhibit the same expansion behaviour.

Explanation

This question tests the understanding of ideal gas thermometers. For an ideal gas thermometer, temperature T is proportional to pressure P at constant volume: T = T_tr × (P/P_tr), where T_tr = 273.16 K is the triple point of water. The slight difference in readings occurs because real gases deviate from ideal behaviour, and this deviation decreases at lower densities.