Thermodynamics and Kinetic Theory of Gases Quiz

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What is the equation for the mean free path of gas molecules in kinetic theory?

$\frac{kT}{\sqrt{2} \pi d^2 P}$ (correct)

$\frac{PV}{nRT}$

$\frac{1}{\sqrt{2} \pi d^2 P}$

$\frac{RT}{P}$

Which factor does NOT affect the velocity of sound in air?

Humidity

Frequency (correct)

Temperature

Pressure

What principle explains the reflection of waves?

Hooke's law

Gauss's law

Superposition principle (correct)

Bernoulli's principle

In simple harmonic motion, what does the phase represent?

Position within the cycle Signup and view all the answers

What is the law governing the force between two point charges?

Coulomb's law Signup and view all the answers

Which of the following is NOT an assumption in the kinetic theory of gases?

Gas particles exert attractive forces on each other Signup and view all the answers

What conditions would result in a negative reduction potential for the hydrogen half-cell?

p(H2) = 2 atm and [H+] = 10 M Signup and view all the answers

What is the solubility of BaSO4 in 0.1 M Na2SO4 at 25°C if the saturated solution of BaSO4 is 4 × 10^(-5) M?

16 × 10^(-8) M Signup and view all the answers

When a yellow precipitate is formed by adding a salt containing metal 'M' to a solution of Co(NO3)2 and NaNO2, what is the identity of metal 'M'?

sodium Signup and view all the answers

In the extraction of metal (M) from its sulphide ore (M2S), which metal is involved based on the given reactions?

Cu Signup and view all the answers

Identify the gas (X), white precipitate (Y), and white residue (Z) in the given scenario.

CO2, NaHCO3, Na2CO3 Signup and view all the answers

Which of the following structures exhibits delocalized π-electrons?

O3 and HCN Signup and view all the answers

What are the coordinates of the centre of the circle on which the points of intersection of the two given ellipses lie?

(8,3) Signup and view all the answers

For a complex number z which satisfies |z + i| − |z − 1| = |z| − 2 = 0, what is the value of z?

1 Signup and view all the answers

To evaluate the integral \(egin{equation} \rac{2x-1}{3x+2}igg|{-2}^{4} \rac{4x}{x^2+1} dx\egin{equation}\egin{equation}igg|{1}^{2} \rac{x^2}{x^2+1} dx\egin{equation}', what substitution is not possible?

Putting x = cosec θ Signup and view all the answers

If a plane meets the co-ordinate axes at the points A, B, and C in such a way that the centroid of ∆ABC is (1, r, r^2) for some real r, and passes through the point (5, 5, -12), what is the value of r?

-4/3 Signup and view all the answers

What is the result when evaluating the integral \(egin{equation} \rac{rac{2x-1}{3x+2}}{rac{4x}{x^2+1}} dx\egin{equation}\egin{equation}igg|rac{x^2}{x^2+1} dx\egin{equation}igg|{-2}^{4}\egin{equation}igg|{1}^{2}\egin{equation}'?

$5\pi$ Signup and view all the answers

If P is a variable point on a circle C and Q is a fixed point outside C, what kind of geometric relationship can be established between P and Q?

P and Q are related through a straight line passing through Q Signup and view all the answers

How many triple bonds are present in the cyclo (18) carbon structure?

9 Signup and view all the answers

Why does 1-butanol have the highest boiling point among the given compounds?

Due to extensive intermolecular hydrogen bonding Signup and view all the answers

Which compound has the lowest boiling point among isopentane, n-pentane, butanone, and 1-butanol?

Isopentane Signup and view all the answers

Why does butanone have a higher boiling point than n-pentane?

Stronger dipole-dipole interactions Signup and view all the answers

Which resonating structures of p-nitro-N, N-dimethyl aniline are incorrect?

II and IV Signup and view all the answers

What is the general formula of amino acids where R is CH3?

$H_2N - CH(CH_3) - COOH$ Signup and view all the answers

What is the condition for electric field to be maximum at point M in the graph?

$2z^2 = a^2$ Signup and view all the answers

At point P(0, 2a, 0), what is the net electric field value in terms of $σ$ and $ε_0$?

$4σ/ (2ε_0) j$ Signup and view all the answers

What happens to charge q3 between charges q1 and q2 if q3 is taken as positive?

At a certain location, q3 will experience repulsive forces of equal magnitude. Signup and view all the answers

In Case 2, where q3 is taken as negative, what occurs at a certain location between charges q1 and q2?

q3 will experience attractive forces of equal magnitude. Signup and view all the answers

What is the expression for the current associated with charge q in terms of R and λ?

$q I= T/ (2πRλ)$ Signup and view all the answers

At a distance d away from the center, what is the expression for the magnetic field on the axis, for d much greater than R?

$µ_0 IR^2/(2(R + d / 2)^{3/2})$ Signup and view all the answers

Thermodynamics and Kinetic Theory of Gases Quiz

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Questions and Answers

What is the equation for the mean free path of gas molecules in kinetic theory?

Which factor does NOT affect the velocity of sound in air?

What principle explains the reflection of waves?

In simple harmonic motion, what does the phase represent?

What is the law governing the force between two point charges?

Which of the following is NOT an assumption in the kinetic theory of gases?

What conditions would result in a negative reduction potential for the hydrogen half-cell?

What is the solubility of BaSO4 in 0.1 M Na2SO4 at 25°C if the saturated solution of BaSO4 is 4 × 10^(-5) M?

When a yellow precipitate is formed by adding a salt containing metal 'M' to a solution of Co(NO3)2 and NaNO2, what is the identity of metal 'M'?

In the extraction of metal (M) from its sulphide ore (M2S), which metal is involved based on the given reactions?

Identify the gas (X), white precipitate (Y), and white residue (Z) in the given scenario.

Which of the following structures exhibits delocalized π-electrons?

What are the coordinates of the centre of the circle on which the points of intersection of the two given ellipses lie?

For a complex number z which satisfies |z + i| − |z − 1| = |z| − 2 = 0, what is the value of z?

To evaluate the integral \(egin{equation} \rac{2x-1}{3x+2}igg|{-2}^{4} \rac{4x}{x^2+1} dx\egin{equation}\egin{equation}igg|{1}^{2} \rac{x^2}{x^2+1} dx\egin{equation}', what substitution is not possible?

If a plane meets the co-ordinate axes at the points A, B, and C in such a way that the centroid of ∆ABC is (1, r, r^2) for some real r, and passes through the point (5, 5, -12), what is the value of r?

What is the result when evaluating the integral \(egin{equation} \rac{rac{2x-1}{3x+2}}{rac{4x}{x^2+1}} dx\egin{equation}\egin{equation}igg|rac{x^2}{x^2+1} dx\egin{equation}igg|{-2}^{4}\egin{equation}igg|{1}^{2}\egin{equation}'?

If P is a variable point on a circle C and Q is a fixed point outside C, what kind of geometric relationship can be established between P and Q?

How many triple bonds are present in the cyclo (18) carbon structure?

Why does 1-butanol have the highest boiling point among the given compounds?

Which compound has the lowest boiling point among isopentane, n-pentane, butanone, and 1-butanol?

Why does butanone have a higher boiling point than n-pentane?

Which resonating structures of p-nitro-N, N-dimethyl aniline are incorrect?

What is the general formula of amino acids where R is CH3?

What is the condition for electric field to be maximum at point M in the graph?

At point P(0, 2a, 0), what is the net electric field value in terms of $σ$ and $ε_0$?

What happens to charge q3 between charges q1 and q2 if q3 is taken as positive?

In Case 2, where q3 is taken as negative, what occurs at a certain location between charges q1 and q2?

What is the expression for the current associated with charge q in terms of R and λ?

At a distance d away from the center, what is the expression for the magnetic field on the axis, for d much greater than R?

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