💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!



Numerade Educator



Problem 71 Hard Difficulty

(a) The van van der Waals equation for $ n $ moles of a gas is
$ (P + \frac {n^2 a}{V^2})(V - nb) = nRT $
where $ P $ is the pressure, $ V $ is the volume, and $ T $ is the temperature of the gas. The constant $ R $ is the universal gas constant and $ a $ and $ b $ are positive constants that are characteristic of a particular gas. If $ T $ remains constant, use implicit differentiation to rind $ dV/dP. $
(b) Find the rate of change of volume with respect to pressure of 1 mole of carbon dioxide at a volume of $ V = 10L $ and a pressure of $ P = 2.5 $ atm. Use $ a = 3.592 L^2 -atm/mole^2 $ and $ b = 0.04267 L/mole, $


(a) $ d V / d P=\frac{(n b-V) V^{3}}{2 n^{3} a b+P V^{3}-n^{2} a V} $
(b) -4.04

More Answers


You must be signed in to discuss.

Video Transcript

in this problem working with wonder pills question upstate, I would respond there. It will be expected to be. The assumption is that we're witnessing that and are plenty. So the right inside is not a function off Pete. So let's take their little both sides. Expect Pete and we have one. Waas ddb oh, in script A You buy. We screwed times three months and we were using for a cool plus p plus inscribed a wee spurred times D B E T is equal to zero. So doing just appreciation. We have one minus two in spirit times A tense meeting. Leggett third TVP Hey times we minus and B was P plus end script. A light we skirt Tench DVD is zero, so let's grew older. Term to DVD. Feel one side in this hole terms without DVD grown other side. Let's write this one is GDP times to inscribe a digital negative hard times, then B minus B plus He waas been scraped times any time to physical and be my speed. So from this we see that on TV. PeopIe physical N B minus B Derided by to end Scrag times eight times 32 negative. Third and B minus three plus p wasp Insert a beater donated to All right Now we can multiply both sides for numerator and even Norman, and you would reach in the neck with a positive to get to go, mister and write the answer as DVD is able to end. B minus three. Time Beat You divided by, too. Then Jew babying plus Pete and beat you minus and spurred. A. This is the answer to First Part, a four part fever given bellies for N B A, um, envy and rest. If I dd forgiven Melodies you b plus everything. NBC that the answer is or DVD P for the given conditions is named for 0.44 leaders, for that was very pressure.