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Q. If 1000 J of heat is added to a gas and it expands doing 400 J of work, what is the change in internal energy? (2023)

A. 600 J
B. 400 J
C. 1000 J
D. 200 J

Solution

Using the first law of thermodynamics: ΔU = Q - W = 1000 J - 400 J = 600 J.

Correct Answer: A — 600 J

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Q. If 1000 J of heat is added to a system and 400 J of work is done by the system, what is the change in internal energy of the system? (2021)

A. 600 J
B. 400 J
C. 1000 J
D. 200 J

Solution

Using the first law of thermodynamics: ΔU = Q - W = 1000 J - 400 J = 600 J.

Correct Answer: A — 600 J

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Q. If 1000 J of heat is added to a system and it does 400 J of work, what is the change in internal energy? (2021)

A. 600 J
B. 400 J
C. 1000 J
D. 1400 J

Solution

Using the first law of thermodynamics, ΔU = Q - W = 1000 J - 400 J = 600 J.

Correct Answer: A — 600 J

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Q. If 15 g of sugar is dissolved in 300 mL of water, what is the concentration in g/mL? (2020)

A. 0.05 g/mL
B. 0.1 g/mL
C. 0.15 g/mL
D. 0.2 g/mL

Solution

Concentration = mass / volume = 15 g / 300 mL = 0.05 g/mL.

Correct Answer: B — 0.1 g/mL

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Q. If 20 grams of glucose (C6H12O6) is dissolved in 1 liter of water, what is the molarity of the solution? (Molar mass of glucose = 180 g/mol) (2020) 2020

A. 0.11 M
B. 0.5 M
C. 0.2 M
D. 0.33 M

Solution

Moles of glucose = 20 g / 180 g/mol = 0.111 M. Molarity = 0.111 moles / 1 L = 0.11 M.

Correct Answer: A — 0.11 M

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Q. If 200 g of water at 80°C is mixed with 300 g of water at 20°C, what will be the final temperature of the mixture? (Assume no heat loss to the surroundings)

A. 30°C
B. 40°C
C. 50°C
D. 60°C

Solution

Using the formula m1c1T1 + m2c2T2 = (m1 + m2)cTfinal, we find Tfinal = 40°C.

Correct Answer: B — 40°C

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Q. If 200 J of heat is added to a system and 50 J of work is done by the system, what is the change in internal energy? (2023)

A. 150 J
B. 250 J
C. 200 J
D. 100 J

Solution

According to the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Correct Answer: A — 150 J

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Q. If 200 J of heat is added to a system and 50 J of work is done by the system, what is the change in internal energy of the system?

A. 150 J
B. 250 J
C. 200 J
D. 100 J

Solution

According to the first law of thermodynamics, ΔU = Q - W = 200 J - 50 J = 150 J.

Correct Answer: A — 150 J

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Q. If 2000 J of heat is added to a system and 500 J of work is done by the system, what is the change in internal energy of the system? (2021)

A. 1500 J
B. 2000 J
C. 2500 J
D. 3000 J

Solution

Using the first law of thermodynamics: ΔU = Q - W = 2000 J - 500 J = 1500 J.

Correct Answer: A — 1500 J

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Q. If 2x = 10, what is the value of x? (2015)

A. 5
B. 10
C. 2
D. 20

Solution

Dividing both sides by 2 gives x = 10/2 = 5.

Correct Answer: A — 5

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Q. If 3 moles of glucose are dissolved in 1 liter of solution, what is the molality of the solution? (2023)

A. 3 m
B. 1 m
C. 2 m
D. 0.5 m

Solution

Molality (m) = moles of solute / kg of solvent; assuming 1 L of water = 1 kg, m = 3 moles / 1 kg = 3 m

Correct Answer: A — 3 m

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Q. If 3x = 12, what is the value of x? (2019)

A. 3
B. 4
C. 5
D. 2

Solution

x = 12 / 3 = 4.

Correct Answer: B — 4

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Q. If 50 mL of 0.1 M H2SO4 is diluted to 250 mL, what is the new concentration?

A. 0.02 M
B. 0.04 M
C. 0.1 M
D. 0.5 M

Solution

C1V1 = C2V2; (0.1 M)(50 mL) = C2(250 mL); C2 = 0.02 M.

Correct Answer: B — 0.04 M

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Q. If 50 mL of a 3 M solution is diluted to 200 mL, what is the new molarity? (2020)

A. 0.75 M
B. 1.5 M
C. 2 M
D. 3 M

Solution

Using M1V1 = M2V2, (3 M)(50 mL) = M2(200 mL) => M2 = (3 M × 50 mL) / 200 mL = 0.75 M.

Correct Answer: A — 0.75 M

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Q. If 500 J of heat is added to a system and 200 J of work is done by the system, what is the change in internal energy of the system?

A. 300 J
B. 500 J
C. 700 J
D. 200 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

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Q. If 500 J of heat is added to a system and it does 200 J of work, what is the change in internal energy? (2022)

A. 300 J
B. 200 J
C. 500 J
D. 700 J

Solution

According to the first law of thermodynamics, ΔU = Q - W. Here, ΔU = 500 J - 200 J = 300 J.

Correct Answer: A — 300 J

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Q. If 5x = 25, what is the value of x? (2019)

A. 5
B. 10
C. 15
D. 20

Solution

5x = 25, so x = 25/5 = 5.

Correct Answer: A — 5

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Q. If a 10 kg object is dropped from a height of 20 m, what is the velocity just before it hits the ground? (Assume g = 10 m/s²) (2019)

A. 10 m/s
B. 20 m/s
C. 14 m/s
D. 15 m/s

Solution

Using v² = u² + 2gh, v = √(0 + 2 × 10 m/s² × 20 m) = √400 = 20 m/s.

Correct Answer: B — 20 m/s

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Q. If a 10 kg object is moving with a speed of 2 m/s, what is its kinetic energy?

A. 10 J
B. 20 J
C. 40 J
D. 80 J

Solution

KE = 0.5 × m × v² = 0.5 × 10 kg × (2 m/s)² = 0.5 × 10 × 4 = 20 J.

Correct Answer: B — 20 J

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Q. If a 10 kg object is raised to a height of 5 m, what is the work done against gravity? (g = 9.8 m/s²)

A. 490 J
B. 980 J
C. 150 J
D. 250 J

Solution

Work = m * g * h = 10 kg * 9.8 m/s² * 5 m = 490 J.

Correct Answer: B — 980 J

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Q. If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 4 m, what is the work done? (2020)

A. 20 J
B. 40 J
C. 30 J
D. 50 J

Solution

Work done = Force × Distance × cos(θ) = 10 N × 4 m × cos(60°) = 10 N × 4 m × 0.5 = 20 J

Correct Answer: C — 30 J

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Q. If a 10 N force is applied at an angle of 60 degrees to the horizontal while moving an object 3 m, what is the work done? (2020)

A. 15 J
B. 30 J
C. 25 J
D. 5 J

Solution

Work done = Force × Distance × cos(θ) = 10 N × 3 m × cos(60°) = 10 N × 3 m × 0.5 = 15 J

Correct Answer: A — 15 J

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Q. If a 1000 kg car is moving at a speed of 15 m/s, what is its kinetic energy?

A. 112,500 J
B. 225,000 J
C. 150,000 J
D. 75,000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (15 m/s)² = 112,500 J

Correct Answer: B — 225,000 J

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Q. If a 1000 kg car is moving at a speed of 36 km/h, what is its kinetic energy? (2021)

A. 500 J
B. 1000 J
C. 2000 J
D. 3000 J

Solution

Convert speed to m/s: 36 km/h = 10 m/s. KE = 1/2 * m * v^2 = 1/2 * 1000 kg * (10 m/s)^2 = 50000 J.

Correct Answer: C — 2000 J

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Q. If a 1000 kg car is moving with a speed of 15 m/s, what is its kinetic energy?

A. 112,500 J
B. 225,000 J
C. 75,000 J
D. 150,000 J

Solution

Kinetic Energy = 0.5 × mass × velocity² = 0.5 × 1000 kg × (15 m/s)² = 112,500 J

Correct Answer: B — 225,000 J

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Q. If a 1000 W motor runs for 2 hours, how much work does it do? (2000)

A. 7200 J
B. 2000 J
C. 3600000 J
D. 100000 J

Solution

Work = Power × Time = 1000 W × (2 hours × 3600 s/hour) = 1000 W × 7200 s = 7200000 J

Correct Answer: C — 3600000 J

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Q. If a 100Ω resistor is connected in series with a 200Ω resistor, what is the total resistance? (2023)

A. 300Ω
B. 100Ω
C. 200Ω
D. 400Ω

Solution

In series, R_total = R1 + R2 = 100Ω + 200Ω = 300Ω.

Correct Answer: A — 300Ω

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Q. If a 10Ω resistor carries a current of 2A, what is the voltage across the resistor? (2023)

A. 5V
B. 10V
C. 20V
D. 30V

Solution

Using Ohm's Law, V = I * R = 2A * 10Ω = 20V.

Correct Answer: C — 20V

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Q. If a 10Ω resistor carries a current of 5A, what is the voltage across the resistor? (2023)

A. 10V
B. 20V
C. 30V
D. 50V

Solution

Using Ohm's Law, V = I * R = 5A * 10Ω = 50V.

Correct Answer: B — 20V

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Q. If a 10Ω resistor is connected across a 20V battery, what is the power dissipated in the resistor? (2023)

A. 20W
B. 40W
C. 10W
D. 5W

Solution

Power (P) can be calculated using the formula P = V^2 / R. Here, P = 20^2 / 10 = 400 / 10 = 40W.

Correct Answer: B — 40W

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