Thermodynamics: Ideal Gas Properties

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Which of the following statements about the Lyman series is true?

It lies in the ultraviolet region of the electromagnetic spectrum (correct)

It lies in the visible region of the electromagnetic spectrum

It lies in the infrared region of the electromagnetic spectrum

It lies in the X-ray region of the electromagnetic spectrum

If the energy from the sun is received on earth at the rate of 2 cal per cm² per min, what is the average wavelength of solar light?

5500 Å (correct)

6500 Å

4500 Å

7500 Å

What is the total energy of an electron in an atom in an orbit?

–3.4 eV (correct)

6.8 eV

–6.8 eV

3.4 eV

What is the symbol for an atom of element X having 42 protons, 42 electrons, and 65 neutrons?

42X147 Signup and view all the answers

What is the number of atoms left over after 10 days if we start with 50,000 atoms of Bi²¹⁰, which has a half-life of 5 days?

12,500 Signup and view all the answers

What is the current flowing through the 6 kΩ resistor in the circuit shown?

1 mA Signup and view all the answers

What is the ratio of specific heat at constant pressure to that at constant volume for an ideal gas?

5/7 Signup and view all the answers

What is the isothermal bulk modulus of a given mass of an ideal gas at pressure P and absolute temperature T?

P Signup and view all the answers

What is the work done by a gas when the temperature changes from T1 to T2 while the pressure remains constant, given by the equation P = AT - BT?

A(T2 - T1) + B(T2^2 - T1^2) Signup and view all the answers

What is the ratio of emissive power of a body at a given wavelength and a fixed temperature to that of a perfect blackbody at the same temperature?

Relative emissivity Signup and view all the answers

What is the ratio of molecular specific heats of a diatomic gas?

1.4 Signup and view all the answers

What is the temperature of the air to which heat is rejected in an ideal refrigerator with a freezer at a temperature of -13°C and a coefficient of performance of 5?

320 K Signup and view all the answers

Which of the following elements exhibits positive electron gain enthalpy?

Argon Signup and view all the answers

What is the correct rate law expression for the reaction 2NO(g) + Cl2(g) → 2NOCl(g)?

Rate = k [NO]2 [Cl2] Signup and view all the answers

Which of the following complexes will NOT show geometric isomerism?

[MA5B] Signup and view all the answers

What is the oxidation state of osmium (Os) in OsO4?

+8 Signup and view all the answers

What is the functional group present in westrosol?

Iodo Signup and view all the answers

What is the final product of Deacon's process?

Chlorine Signup and view all the answers

What is the area of the region bounded by the curves x2 + 4y2 = 4 and 4y2 = 3x?

2π/5 + 1/2√3 + 2/2√3 + 1/2√5 Signup and view all the answers

What is the vector equation of a plane passing through three points i + j - 2k, i - j + k, and i + 2j + k?

-r.(9i + 3j - k) = 14 Signup and view all the answers

What is the direction of the line of intersection of the planes r.(i + 4j - 2k) = 1 and r.(3i - j + k) = 2?

2i - 7j + 3k Signup and view all the answers

What is the solution of the equation (x + log y)dy + y dx = 0?

xy + y log y = c Signup and view all the answers

What is the order and degree of the differential equation d^2y/dx^2 + 3y(dy/dx)^4/5 = 0?

2, 5 Signup and view all the answers

What is the equation of the differential equation y"" - ω^2y = 0?

y"" = -ω^2y Signup and view all the answers

What is the point that provides the solution to the linear programming problem: Max P = 2x + 3y subject to certain constraints?

(3, 2.5) Signup and view all the answers

What is the maximum value of 12x + 3y subject to certain constraints?

60 Signup and view all the answers

What is the region represented by the inequalities x ≥ 0, y ≥ 0?

first quadrant Signup and view all the answers

If the p.d.f. of a random variable X is f(x) = 0.5x, 0 ≤ x ≤ 2, then what is the value of P(0.5 ≤ X ≤ 1.5)?

1 Signup and view all the answers

If the p.d.f. of a random variable X is f(x) = 1/5, 0 ≤ x ≤ 5, then what is the value of P(1 < X < 3)?

2/5 Signup and view all the answers

What is the probability of getting exactly six heads in 10 tosses of a coin?

105/512 Signup and view all the answers