A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³. Calculate the volumetric expansivity, αv, of the metal cube.
(a) A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³.
Calculate the volumetric expansivity, αv, of the metal cube.
(b) A water sample is removed from a freezer and placed in a bowl on a kitchen worktop at 25 °C. The water sample is an ice block at -20 °C when it is removed from the freezer.
(i) State the three different phases or combination of phases that the water sample will transition between in the time between being removed from the freezer and reaching thermal equilibrium with its new surroundings.
(ii) Qualitatively describe how the temperature of the water sample changes over time in each phase.
(iii) Qualitatively describe how the internal energy of the water sample changes over time in each phase.
(c) The unit of pressure is the Pascal (Pa). Show that 1 Pa is equivalent to 1 kg m -1s-2.
(d) 5.00 moles of an ideal diatomic gas are contained inside a box with a fixed volume of 1.00 x 10-2 m³. The temperature of the gas is initially 295 K, and is then raised to 345 K.
(At these temperatures, assume that the diatomic gas has translational and rotational degrees of freedom only.)
(i) What is the change in pressure of the gas due to the heating?
(ii) Explain why no work is done on or by the gas during the heating.
(iii) How much heat is transferred to the gas?
Requirements:
(a) A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³.
Calculate the volumetric expansivity, αv, of the metal cube.
(b) A water sample is removed from a freezer and placed in a a bowl on a kitchen worktop at 25 °C. The water sample is an ice block at -20 °C when it is removed from the freezer.
(i) State the three different phases or combination of phases that the water sample will transition between in the time between being removed from the freezer and reaching thermal equilibrium with its new surroundings.
(ii) Qualitatively describe how the temperature of the water sample changes over time in each phase.
(iii) Qualitatively describe how the internal energy of the water sample changes over time in each phase.
(c) The unit of pressure is the Pascal (Pa). Show that 1 Pa is equivalent to 1 kg m -1s-2.
(d) 5.00 moles of an ideal diatomic gas are contained inside a box with a fixed volume of 1.00 x 10-2 m³. The temperature of the gas is initially 295 K, and is then raised to 345 K.
(At these temperatures, assume that the diatomic gas has translational and rotational degrees of freedom only.)
(i) What is the change in pressure of the gas due to the heating?
(ii) Explain why no work is done on or by the gas during the heating.
(iii) How much heat is transferred to the gas?
(a) A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³.
Calculate the volumetric expansivity, αv, of the metal cube.
(b) A water sample is removed from a freezer and placed in a a bowl on a kitchen worktop at 25 °C. The water sample is an ice block at -20 °C when it is removed from the freezer.
(i) State the three different phases or combination of phases that the water sample will transition between in the time between being removed from the freezer and reaching thermal equilibrium with its new surroundings.
(ii) Qualitatively describe how the temperature of the water sample changes over time in each phase.
(iii) Qualitatively describe how the internal energy of the water sample changes over time in each phase.
(c) The unit of pressure is the Pascal (Pa). Show that 1 Pa is equivalent to 1 kg m -1s-2.
(d) 5.00 moles of an ideal diatomic gas are contained inside a box with a fixed volume of 1.00 x 10-2 m³. The temperature of the gas is initially 295 K, and is then raised to 345 K.
(At these temperatures, assume that the diatomic gas has translational and rotational degrees of freedom only.)
(i) What is the change in pressure of the gas due to the heating?
(ii) Explain why no work is done on or by the gas during the heating.
(iii) How much heat is transferred to the gas?
(a) A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³.
Calculate the volumetric expansivity, αv, of the metal cube.
(b) A water sample is removed from a freezer and placed in a a bowl on a kitchen worktop at 25 °C. The water sample is an ice block at -20 °C when it is removed from the freezer.
(i) State the three different phases or combination of phases that the water sample will transition between in the time between being removed from the freezer and reaching thermal equilibrium with its new surroundings.
(ii) Qualitatively describe how the temperature of the water sample changes over time in each phase.
(iii) Qualitatively describe how the internal energy of the water sample changes over time in each phase.
(c) The unit of pressure is the Pascal (Pa). Show that 1 Pa is equivalent to 1 kg m -1s-2.
(d) 5.00 moles of an ideal diatomic gas are contained inside a box with a fixed volume of 1.00 x 10-2 m³. The temperature of the gas is initially 295 K, and is then raised to 345 K.
(At these temperatures, assume that the diatomic gas has translational and rotational degrees of freedom only.)
(i) What is the change in pressure of the gas due to the heating?
(ii) Explain why no work is done on or by the gas during the heating.
(iii) How much heat is transferred to the gas?
(a) A small metal cube has a volume of 1.000 x 10-6 m³ at a temperature of 312.3 K. The cube is then heated to a temperature of 680.2 K and expands to a volume of 1.019 x 10-6 m³.
Calculate the volumetric expansivity, αv, of the metal cube.
(b) A water sample is removed from a freezer and placed in a a bowl on a kitchen worktop at 25 °C. The water sample is an ice block at -20 °C when it is removed from the freezer.
(i) State the three different phases or combination of phases that the water sample will transition between in the time between being removed from the freezer and reaching thermal equilibrium with its new surroundings.
(ii) Qualitatively describe how the temperature of the water sample changes over time in each phase.
(iii) Qualitatively describe how the internal energy of the water sample changes over time in each phase.
(c) The unit of pressure is the Pascal (Pa). Show that 1 Pa is equivalent to 1 kg m -1s-2.
(d) 5.00 moles of an ideal diatomic gas are contained inside a box with a fixed volume of 1.00 x 10-2 m³. The temperature of the gas is initially 295 K, and is then raised to 345 K.
(At these temperatures, assume that the diatomic gas has translational and rotational degrees of freedom only.)
(i) What is the change in pressure of the gas due to the heating?
(ii) Explain why no work is done on or by the gas during the heating.
(iii) How much heat is transferred to the gas?
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