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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.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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