Chemistry - Ideal Gas Question with Solution | TestHub

ChemistryIdeal GasIdeal Gas Equation & problemsHard2 minQB
ChemistryHardmatching list

Match the following

Column I

Column II

A) Boyle's law

P) (dP/dV)T = -P/V

B) Charle's law

Q) (dV/dT)P = V/T

C) Avogadro's law

R) [d(PV)/dP]T = 0

D) Graham's law

S) (dV/dn)P,T = RT/P

 

T) -dP/dt = k/√(d)

Options:

Answer:
B
Solution:

Boyle's law: PV = constant at fixed T, so P = c/V gives (dP/dV)T = -c/V2 = -P/V (P), and differentiating PV = constant w.r.t. P gives [d(PV)/dP]T = 0 (R). Charle's law: V = kT at fixed P, so (dV/dT)P = k = V/T (Q). Avogadro's law: V = (RT/P)n at fixed P,T, so (dV/dn)P,T = RT/P (S). Graham's law: rate of diffusion ∝ 1/√(d), so -dP/dt = k/√(d) (T). Hence A→P,R; B→Q; C→S; D→T.

Stream:JEESubject:ChemistryTopic:Ideal GasSubtopic:Ideal Gas Equation & problems
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