Question

Question 17 (2 points) A metal whose volume expansivity is 5 x 10-5 K-1 and isothermal compressibility is 1.2 x 10-11 Pa-1 is at a pressure of 1.0 x 105 Pa and a temperature of 20°C. A thick surrounding cover of invar, of negligible expansivity and compressibility, fits it very snugly so that the metal cannot expand. What will be the final pressure if the temperature is raised to 32°C? Standard temperature is 0°C and pressure is 1 atm = 1.00 x 105 Pa. The volume expansivity and isothermal compressibility remains constant over the temperature and pressure range considered in this problem. Oa) 52.35 x 107 Pa Ob)5.01 x 10' Pa Oc) 4.235 x 10'Pa Od) 1.00 x 10Pa

Answer 1

Answers lume expe Anoun) we're, volume expansivity p= + (206 and trothermal componibility ks-to (e so - (0). ().e) 64)... relation , whore we're used the where were mes the relation, ), Cen), 67), --1 New from cv. 1. Ty-Ti a ly = no es (14 -Ti) + Pi :-(2) Goto we've Bp = 5x1018 kt • kt = .2 x 10" Pat If = (273 +39] K6 TC = (273 + 20 ) k. Pi = 3 x 105 Pa = 0.01 x 107 Pa 2.2x 10-11 It-Ti = 12 K. - - Exto y + 0.01 2207 Pa = 80 5.01x Jo7 pa >> P = 5.01 Xbot Pa + option (b) is correct: