A block of copper at a pressure of 1 atm (approximately 100 kPa) and a tem- perature of 5°C is kept at constant volume. If the temperature is raised to 10°C, what will be the final pressure? If the vessel holding the block of copper has a negligibly small thermal expan- sivity and can withstand a maximum pressure of 1000 atm, what is the highest temperature to which the system may be raised?
A block of copper at a pressure of 1 atm (approximately 100 kPa) and a tem- perature of 5°C is kept at constant volume. If the temperature is raised to 10°C, what will be the final pressure? If the vessel holding the block of copper has a negligibly small thermal expan- sivity and can withstand a maximum pressure of 1000 atm, what is the highest temperature to which the system may be raised?
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Transcribed Image Text:2.4. (a) A block of copper at a pressure of 1 atm (approximately 100 kPa) and a tem-
perature of 5°C is kept at constant volume. If the temperature is raised to 10°C,
what will be the final pressure?
(b) If the vessel holding the block of copper has a negligibly small thermal expan-
sivity and can withstand a maximum pressure of 1000 atm, what is the highest
temperature to which the system may be raised?
(Note: The volume expansivity ß and isothermal compressibility k are not always
listed in handbooks of data. However, ß is three times the linear expansion coefficient
a, and k is the reciprocal of the bulk modulus B. For this problem, assume that the
volume expansivity and isothermal compressibility remain practically constant within
the temperature range of 0 to 20°C at the values of 4.95 × 10-5 K-1 and
6.17 x 10-12 Pa-!, respectively.)
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