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1.46 (a) For an ideal gas, use an equation like (1.30) to show that dP = P(n¯¹ dn + T¹¹ dT - V¹ dV) (which can be written as d ln P = d ln n + dln T - d ln V). (b) Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its tempera- ture increased by 1.00 K and its volume increased by 0.050 L. Use the result of (a) to estimate the change in pressure, AP. (c) Calculate AP exactly for the change in (b) and compare with the estimate given by dP.

1.46 (a) For an ideal gas, use an equation like (1.30) to show that dP = P(n¯¹ dn + T¹¹ dT - V¹ dV) (which can be written as d ln P = d ln n + dln T - d ln V). (b) Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its tempera- ture increased by 1.00 K and its volume increased by 0.050 L. Use the result of (a) to estimate the change in pressure, AP. (c) Calculate AP exactly for the change in (b) and compare with the estimate given by dP.

Introduction to General, Organic and Biochemistry
Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter5: Gases, Liquids, And Solids
Section: Chapter Questions
Problem 5.76P
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1.46 (a) For an ideal gas, use an equation like (1.30) to show that dP = P(n¯¹ dn + T¹¹ dT - V¹ dV) (which can be written as d ln P = d ln n + dln T - d ln V). (b) Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its tempera- ture increased by 1.00 K and its volume increased by 0.050 L. Use the result of (a) to estimate the change in pressure, AP. (c) Calculate AP exactly for the change in (b) and compare with the estimate given by dP.
Transcribed Image Text:1.46 (a) For an ideal gas, use an equation like (1.30) to show that dP = P(n¯¹ dn + T¹¹ dT - V¹ dV) (which can be written as d ln P = d ln n + dln T - d ln V). (b) Suppose 1.0000 mol of ideal gas at 300.00 K in a 30.000-L vessel has its tempera- ture increased by 1.00 K and its volume increased by 0.050 L. Use the result of (a) to estimate the change in pressure, AP. (c) Calculate AP exactly for the change in (b) and compare with the estimate given by dP.
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