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A-Level CAIE Physics 14 2 Temperature Scales Question Bank

Practice A-Level CAIE Physics 14 2 Temperature Scales questions by syllabus topic with past-paper context, marks, difficulty and question previews on Eduninja.

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Question 2

2

electric potential energy. energy = J

structured3 marks

Question 2(a)

2(a)

Some gas, initially at a temperature of \(27.2^{\circ} \mathrm{C}\), is heated so that its temperature rises to \(38.8^{\circ} \mathrm{C}\). Calculate, in kelvin, to an appropriate number of decimal places,

structured0 marks

Question 2(a)(i)

2(a)(i)

the initial temperature of the gas,

Easystructured0 marks

Answer

27.2+273.15 or \(27.2+273.2 \quad\) C1 300.4 K A1 [2]

Question 2(a)(ii)

2(a)(ii)

the rise in temperature.

Easystructured0 marks

Answer

11.6 K A1 [1]

Question 2

2

6 marks

Question 2(a)

2(a)

2 marks

Question 2(a)(i)

2(a)(i)

State the magnitude and unit of absolute zero on the thermodynamic temperature scale.

Easystructured1 marks

Answer

0 K B1

Question 2(a)(ii)

2(a)(ii)

Explain why temperature measured using a laboratory liquid-in-glass thermometer does not give a measurement of thermodynamic temperature.

Mediumstructured1 marks

Answer

(measurement) depends on properties of the liquid B1

Question 2(b)

2(b)

Fig. 2.1 shows a simplified diagram of a type of thermometer called a platinum resistance thermometer. The glass tube is immersed in the environment for which the temperature is to be determined. The resistance between the terminals X and Y is measured. Fig. 2.2 shows the variation of the resistivity \(\rho\) of platinum with thermodynamic temperature T.

structured4 marks

Question 2(b)(i)

2(b)(i)

Explain how Fig. 2.2 shows that platinum is a suitable metal for use in a resistance thermometer.

Mediumstructured2 marks

Answer

resistivity varies with temperature - variation with temperature is linear - unique value of resistivity for each (different value of) temperature Any two points, 1 mark each B2

Question 2(b)(ii)

2(b)(ii)

Suggest a reason why a platinum resistance thermometer is not suitable for measuring a rapidly changing temperature.

Mediumstructured1 marks

Answer

thermometer has high heat capacity/specific heat capacity or energy transfer needed for thermometer to reach correct temperature or thermometer takes time to reach the correct temperature B1

Question 2(b)(iii)

2(b)(iii)

Suggest a type of thermometer that is suitable for measuring a rapidly changing temperature.

Mediumstructured1 marks

Answer

thermocouple B1

Question 2

2

Fig. 2.1 shows a laboratory thermometer that is calibrated to measure temperature in degrees Celsius. The thermometer makes use of the fact that the density of mercury varies with temperature.

structured5 marks

Question 2(a)

2(a)

State two other physical properties of materials, apart from the density of a liquid, that can be used for measuring temperature. 1 2

Easystructured2 marks

Answer

resistance of a metal - volume of a gas at constant pressure - e.m.f. of a thermocouple Any two points, 1 mark each B2

Question 2(b)

2(b)

The thermometer is initially at \(23.0^{\circ} \mathrm{C}\), as shown in Fig. 2.1. It is used to measure the temperature of an insulated beaker of water that is at \(37.4^{\circ} \mathrm{C}\). The bulb of the thermometer is inserted into the water, and the water is stirred until the reading on the thermometer becomes steady. The mass of water in the beaker is 18.7 g . The mass of mercury in the thermometer is 6.94 g . The specific heat capacity of water is \(4.18 \mathrm{~J} \mathrm{~g}^{-1} \mathrm{~K}^{-1}\). The specific heat capacity of mercury is \(0.140 \mathrm{~J} \mathrm{~g}^{-1} \mathrm{~K}^{-1}\). The glass of the thermometer and the beaker containing the water can be considered to have negligible heat capacity.

structured1 marks

Question 2(b)(ii)

2(b)(ii)

Suggest one change that could be made to the design of the thermometer that would enable it to give a more accurate measurement of temperature.

Mediumstructured1 marks

Answer

use a liquid with a lower (specific) heat capacity (than mercury) or use a smaller mass of mercury B1

Question 2(c)

2(c)

2 marks

Question 2(c)(i)

2(c)(i)

Explain why the thermometer in Fig. 2.1 does not provide a direct measurement of thermodynamic temperature.

Mediumstructured2 marks

Answer

depends on properties of a real substance B1 \(0^{\circ} \mathrm{C}\) is not absolute zero B1

Question 2

2

1 marks

Question 2(a)

2(a)

1 marks

Question 2(a)(ii)

2(a)(ii)

State the temperature, in degrees Celsius, of absolute zero.

Easystructured1 marks

Answer

temperature \(=-273.15^{\circ} \mathrm{C}\) A1

Question 2

2

6 marks

Question 2(a)

2(a)

A resistance thermometer and a thermocouple thermometer are both used at the same time to measure the temperature of a water bath. Explain why, although both thermometers have been calibrated correctly and are at equilibrium, they may record different temperatures.

Mediumstructured2 marks

Answer

temperature scale calibrated assuming linear change of property with temperature B1 neither property varies linearly with temperature B1 [2]

Question 2(b)

2(b)

State

structured2 marks

Question 2(b)(i)

2(b)(i)

in what way the absolute scale of temperature differs from other temperature scales,

Mediumstructured1 marks

Answer

does not depend on the property of a substance B1 [1]

Question 2(b)(ii)

2(b)(ii)

what is meant by the absolute zero of temperature.

Easystructured1 marks

Answer

temperature at which atoms have minimum/zero energy B1 [1]

Question 2(c)

2(c)

The temperature of a water bath increases from \(50.00^{\circ} \mathrm{C}\) to \(80.00^{\circ} \mathrm{C}\). Determine, in kelvin and to an appropriate number of significant figures,

structured2 marks

Question 2(c)(i)

2(c)(i)

the temperature \(50.00^{\circ} \mathrm{C}\), temperature = K

Easystructured1 marks

Answer

323.15 K A1 [1]

Question 2(c)(ii)

2(c)(ii)

the change in temperature of the water bath. temperature change = K

Easystructured1 marks

Answer

30.00 K A1 [1]

Question 3

3

5 marks

Question 3(a)

3(a)

The resistance of a thermistor at \(0^{\circ} \mathrm{C}\) is \(3840 \Omega\). At \(100^{\circ} \mathrm{C}\) the resistance is \(190 \Omega\). When the thermistor is placed in water at a particular constant temperature, its resistance is \(2300 \Omega\).

structured5 marks

Question 3(a)(i)

3(a)(i)

Assuming that the resistance of the thermistor varies linearly with temperature, calculate the temperature of the water. temperature = \({ }^{\circ} \mathrm{C}[2]\)

Mediumstructured2 marks

Answer

1 deg C corresponds to \((3840-190) / 100 \Omega \quad\) C1 for resistance \(2300 \Omega\), temperature is \(100 \times(2300-3840) /(190-3840)\) temperature is \(42^{\circ} \mathrm{C}\)

Question 3(a)(ii)

3(a)(ii)

The temperature of the water, as measured on the thermodynamic scale of temperature, is 286 K . By reference to what is meant by the thermodynamic scale of temperature, comment on your answer in (i).

Mediumstructured3 marks

Answer

either \(286 \mathrm{~K} \equiv 13^{\circ} \mathrm{C}\) or \(42^{\circ} \mathrm{C} \equiv 315 \mathrm{~K}\) B1 thermodynamic scale does not depend on the property of a substance M1 so change in resistance (of thermistor) with temperature is non-linear A1 [3]

Question 3

3

4 marks

Question 3(b)

3(b)

Fig. 3.1 shows the variations with temperature of the densities of mercury and of water between \(0^{\circ} \mathrm{C}\) and \(100^{\circ} \mathrm{C}\). Temperature may be measured using the variation with temperature of the density of a liquid. Suggest why, for measuring temperature over this temperature range:

structured3 marks

Question 3(b)(i)

3(b)(i)

mercury is a suitable liquid

Mediumstructured1 marks

Answer

variation (of density with temperature) is linear or each temperature has a unique value of density B1

Question 3(b)(ii)

3(b)(ii)

water is not a suitable liquid.

Mediumstructured2 marks

Answer

variation (of density with temperature) is not linear - region where the density does not vary with temperature - different temperatures have the same density Any two points, 1 mark each B2

Question 3(c)

3(c)

A beaker contains a liquid of mass 120 g . The liquid is supplied with thermal energy at a rate of 810 W . The beaker has a mass of 42 g and a specific heat capacity of \(0.84 \mathrm{Jg}^{-1} \mathrm{~K}^{-1}\). The beaker and the liquid are in thermal equilibrium with each other at all times and are insulated from the surroundings. Fig. 3.2 shows the variation with time t of the temperature of the liquid.

structured1 marks

Question 3(c)(i)

3(c)(i)

State the boiling temperature, in \({ }^{\circ} \mathrm{C}\), of the liquid.

Easystructured1 marks

Answer

boiling point \(=80^{\circ} \mathrm{C}\) A1

Question 3

3

4 marks

Question 3(b)

3(b)

Fig. 3.1 shows the variations with temperature of the densities of mercury and of water between \(0^{\circ} \mathrm{C}\) and \(100^{\circ} \mathrm{C}\). Temperature may be measured using the variation with temperature of the density of a liquid. Suggest why, for measuring temperature over this temperature range:

structured3 marks

Question 3(b)(i)

3(b)(i)

mercury is a suitable liquid

Easystructured1 marks

Answer

variation (of density with temperature) is linear or each temperature has a unique value of density B1

Question 3(b)(ii)

3(b)(ii)

water is not a suitable liquid.

Easystructured2 marks

Answer

variation (of density with temperature) is not linear - region where the density does not vary with temperature - different temperatures have the same density Any two points, 1 mark each B2

Question 3(c)

3(c)

A beaker contains a liquid of mass 120 g . The liquid is supplied with thermal energy at a rate of 810 W . The beaker has a mass of 42 g and a specific heat capacity of \(0.84 \mathrm{Jg}^{-1} \mathrm{~K}^{-1}\). The beaker and the liquid are in thermal equilibrium with each other at all times and are insulated from the surroundings. Fig. 3.2 shows the variation with time t of the temperature of the liquid.

structured1 marks

Question 3(c)(i)

3(c)(i)

State the boiling temperature, in \({ }^{\circ} \mathrm{C}\), of the liquid. temperature \(=\ldots \ldots \ldots ~{ }^{\circ} \mathrm{C}\)

Easystructured1 marks

Answer

boiling point \(=80^{\circ} \mathrm{C}\) A1