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
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
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
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