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Question: If log_2(x) + log_2(x-1) = 3, what is the value of x?Options: 4567Correct Answer: 5Solutio..
Question: Evaluate the expression sin^(-1)(1) + cos^(-1)(0).Options: π/2π01Correct Answer: π/2Soluti..
Question: If x = cos^(-1)(1/2), then what is the value of x?Options: π/3π/4π/20Correct Answer: π/3So..
Question: Find the value of sin^(-1)(sin(π/4)).Options: π/43π/4π/20Correct Answer: π/4Solution: Sinc..
Question: What is the determinant of the matrix \\( \\begin{pmatrix} 1 & 2 \\\\ 2 & 4 \\end{pmatrix}..
Question: If \\( D = \\begin{vmatrix} 2 & 3 & 1 \\\\ 1 & 0 & 2 \\\\ 4 & 1 & 0 \\end{vmatrix} \\), fi..
Question: Find the determinant of the matrix \\( \\begin{pmatrix} a & b \\\\ c & d \\end{pmatrix} \\..
Question: Evaluate \\( \\begin{vmatrix} 1 & 2 & 1 \\\\ 0 & 1 & 0 \\\\ 2 & 3 & 1 \\end{vmatrix} \\)Op..
Question: If z = 2(cos(θ) + i sin(θ)), what is the value of z when θ = π/3?Options: 1 + i1 + √3i2 + ..
Question: Find the real part of the complex number z = 3 + 4i.Options: 3470Correct Answer: 3Solution..
Question: If the roots of the equation x^2 + px + q = 0 are -2 and -3, what is the value of p?Option..
Question: If the quadratic equation x^2 + 6x + 9 = 0 is solved, what is the nature of the roots?Opti..
Question: What is the value of x if 3x - 5 = 16?Options: 7543Correct Answer: 7Solution: Solving for ..
Question: If the quadratic equation x^2 + 2x + k = 0 has no real roots, what is the condition for k?..
Question: For a reaction with ΔH = 50 kJ/mol and ΔS = 100 J/mol·K, at what temperature will the reac..
Question: Which factor does NOT affect the Gibbs Free Energy of a reaction?Options: TemperaturePress..
Question: What is the relationship between Gibbs Free Energy and the equilibrium constant (K)?Option..
Question: Which of the following reactions is spontaneous at all temperatures?Options: ΔH < 0 and ΔS..
Question: At what temperature does the Gibbs Free Energy change from negative to positive?Options: A..
Question: If ΔH is negative and ΔS is positive, what can be said about ΔG?Options: ΔG is always posi..
Question: What is the relationship between entropy and spontaneity of a process?Options: Higher entr..
Question: Which of the following processes is expected to have the largest increase in entropy?Optio..
Question: The entropy of a perfect crystal at absolute zero is given by:Options: R0∞1Correct Answer:..
Question: Which of the following has the highest entropy at 25°C?Options: IceWaterSteamAll have the ..
Question: For a reversible process, the change in entropy of the system is equal to the heat absorbe..
Question: Which of the following is an example of an endothermic reaction?Options: RespirationPhotos..
Question: Which of the following reactions has the highest enthalpy change?Options: Dissolving NaCl ..
Question: The enthalpy of vaporization of water is approximately:Options: 40.79 kJ/mol2260 kJ/mol100..
Question: What is the enthalpy change for the reaction: C(s) + O2(g) -> CO2(g)?Options: -393.5 kJ/mo..
Question: In a chemical reaction, if the enthalpy change is positive, the reaction is classified as:..
