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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Chapter1: Functions And Models
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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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