Thermodynamics: Ideal Gas Properties
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Questions and Answers

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?

    <p>42X147</p> 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?

    <p>12,500</p> Signup and view all the answers

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

    <p>1 mA</p> 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?

    <p>5/7</p> 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>P</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?

    <p>A(T2 - T1) + B(T2^2 - T1^2)</p> 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?

    <p>Relative emissivity</p> Signup and view all the answers

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

    <p>1.4</p> 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?

    <p>320 K</p> Signup and view all the answers

    Which of the following elements exhibits positive electron gain enthalpy?

    <p>Argon</p> Signup and view all the answers

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

    <p>Rate = k [NO]2 [Cl2]</p> Signup and view all the answers

    Which of the following complexes will NOT show geometric isomerism?

    <p>[MA5B]</p> Signup and view all the answers

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

    <p>+8</p> Signup and view all the answers

    What is the functional group present in westrosol?

    <p>Iodo</p> Signup and view all the answers

    What is the final product of Deacon's process?

    <p>Chlorine</p> Signup and view all the answers

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

    <p>2π/5 + 1/2√3 + 2/2√3 + 1/2√5</p> 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?

    <p>-r.(9i + 3j - k) = 14</p> 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?

    <p>2i - 7j + 3k</p> Signup and view all the answers

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

    <p>xy + y log y = c</p> 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?

    <p>2, 5</p> Signup and view all the answers

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

    <p>y&quot;&quot; = -ω^2y</p> 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?

    <p>(3, 2.5)</p> Signup and view all the answers

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

    <p>60</p> Signup and view all the answers

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

    <p>first quadrant</p> 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)?

    <p>1</p> 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)?

    <p>2/5</p> Signup and view all the answers

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

    <p>105/512</p> Signup and view all the answers

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