assignment 1

assignment 1 - The volume expansivity and isothermal...

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Thermal Physics PHYS-253 Assignment 1, due 24 Sept 2010, in class 1) The equation of state of a van der Waals gas is given by ± ²³ ´ µ ¶³ · ¸¹ º »¼ ½ ³¾¿³ where a, b and R are constants. Calculate the following quantities: a. ¸ ÀÁ Àµ ³¼  b. ¸ ÀÁ À ³¼ µ c. From part a) and b) calculate ¸ Àµ À ³¼ à 2) The equilibrium states of superheated steam are represented by Callendar’s equation. Thus: Ä¿ ± Å º Æ ¿ Ç ½ ³¹ º » Were b, r, a, and m are constants. Calculate the volume expansivity as a function of T and p . 3) a. A block of copper at a pressure of 1 atm (approximately 100kPa) and a temperature of 5 o C is kept at constant volume. If the temperature is raised by 10 o C, what will be the final pressure? b. If the vessel holding the block of copper has a negligible small thermal expansivity and can withhold a maximum pressure of 1000 atm, what is the highest temperature to which the system may be raised? Note:
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Unformatted text preview: The volume expansivity and isothermal compressibility are not always listed in handbooks of data. However, is three times the linear expansion coefficient , and 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 o C at the values of 4.95 x 10-5 K-1 and 6.17 x 10-12 Pa-1 , respectively. 4) A block of copper at a pressure of 1 atm, a volume of 100 cm 3 , and a temperature of 10 o C experiences a rise in temperature of 5 o C and an increase in volume of 0.005 cm 3 . Assuming the volume expansivity and isothermal compressibility given in the problem above, calculate the final pressure. 5) For a solid, experiments show that: Å ½ ÈÉÂÊËÃ Ì , Í ½ ËÂ Ì with B, C consts. Derive the equation of state for this solid....
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