All practice questions

Match each of the following oxides on the left with its correct acid-base classification on the right.

An alternating current (AC) circuit contains an inductor of inductance $L = \frac{0.2}{\pi^2}\ \text{H}$, a resistor of resistance $R = 40\ \Omega$, and a variable capacitor $C$ connected in series across a $50\ \text{Hz}$ voltage supply. What capacitance $C$, in microfarads ($\mu\text{F}$), is required for the circuit to operate at electrical resonance?

An unknown solid metallic oxide $X$ dissolves in cold dilute tetraoxosulfate(VI) acid ($\text{H}_2\text{SO}_4$) to form a solution that turns acidified potassium iodide ($\text{KI}$) solution brown due to the liberation of iodine, without releasing any gas during the reaction. In contrast, lead(IV) oxide ($\text{PbO}_2$) treated with cold dilute acid does not produce hydrogen peroxide ($\text{H}_2\text{O}_2$). Which of the following correctly classifies oxide $X$ and accounts for its distinct behavior from lead(IV) oxide?

Based on the kinetic molecular theory of matter, which of the following best explains why liquids have a fixed volume but take the shape of their container?

A sample of $90\text{ cm}^3$ of pure oxygen gas ($\text{O}_2$) is passed through an ozonizer where $20\%$ by volume of the oxygen is converted into ozone ($\text{O}_3$). If the resulting gas mixture is reacted completely with excess carbon(II) oxide ($\text{CO}$) to yield carbon(IV) oxide ($\text{CO}_2$), what is the total volume of carbon(IV) oxide gas produced under the same conditions of temperature and pressure?

Match each oxygen-containing compound listed on the left with its corresponding chemical classification or characteristic reaction behavior on the right.

A major chlor-alkali chemical plant is sited near a coastal marine environment to optimize production efficiency. Which primary raw material is extracted at this location for the industrial electrolysis that yields sodium hydroxide, chlorine gas, and hydrogen gas?

A myopic person has a far point of $52\text{ cm}$ from the eye. A corrective lens is placed $2\text{ cm}$ in front of the eye to enable the person to see distant objects clearly. A second thin converging lens of focal length $+20\text{ cm}$ is then placed in thin coaxial contact with this corrective lens. If an object is placed $50\text{ cm}$ in front of this combined lens system, what is the position and nature of the final image formed?

A short-sighted person cannot see objects clearly beyond a distance of $80\text{ cm}$. What type of lens, of what focal length and power, is required to correct this vision defect so that the person can view distant objects clearly?

A student heats a mixture of iron filings and sulfur powder in a test tube until a black solid, iron(II) sulfide, is formed. What property of the resulting black solid confirms that a compound, rather than a mixture, has been produced?

Arrange the following regions of the electromagnetic spectrum in order of decreasing wavelength (from longest wavelength to shortest wavelength).

An RLC series circuit operating at resonance contains an inductor of inductance $0.1\text{ H}$ and a capacitor of capacitance $10\ \mu\text{F}$. What is the resonant angular frequency of the circuit in radians per second ($\text{rad/s}$)?

A U-tube open to the atmosphere at both ends contains water of density $1000\text{ kg m}^{-3}$. An immiscible liquid is poured into one arm of the tube until it forms a column of height $15.0\text{ cm}$. If the interface between the two liquids lies $12.0\text{ cm}$ below the surface of the water in the opposite arm, what is the density of the liquid in $\text{kg m}^{-3}$?

Pair each of the chemical transformation descriptions listed on the left with its corresponding classical or modern redox definition concept on the right.

An atom of potassium is represented by the nuclide symbol $^{39}_{19}\text{K}$. How many neutrons are present in the nucleus of this atom?

The standard enthalpy of formation ($\Delta H_f^\circ$) of carbon dioxide gas ($\text{CO}_2(g)$) is numerically identical to the standard enthalpy of combustion ($\Delta H_c^\circ$) of diamond under standard thermochemical conditions ($298\text{ K}$ and $1\text{ atm}$).

A $10\text{ dm}^3$ sample of well water contains $0.002\text{ mol dm}^{-3}$ of dissolved calcium hydrogentrioxocarbonate(IV), $\text{Ca(HCO}_3)_2$, and $0.003\text{ mol dm}^{-3}$ of dissolved calcium tetraoxosulfate(VI), $\text{CaSO}_4$. A student boils the water sample thoroughly to soften it and filters off any precipitate formed. What is the molar concentration of $\text{Ca}^{2+}$ ions remaining in the filtered solution?

A cylindrical copper rod of thermal conductivity $380\text{ W}\cdot\text{m}^{-1}\cdot\text{K}^{-1}$, length $0.40\text{ m}$, and uniform radius $2.0\text{ cm}$ is thermally insulated along its curved surface. One flat end is maintained at a temperature of $100^\circ\text{C}$ by steam, while the opposite end is kept in an ice bath at $0^\circ\text{C}$. Assuming steady-state heat conduction, what is the rate of heat flow through the rod? (Take $\pi = 3.14$)

Two rectangular slabs of equal thickness $d$ are mounted in parallel between a hot reservoir at $100^\circ\text{C}$ and a cold reservoir at $20^\circ\text{C}$. Slab 1 has a thermal conductivity $k_1 = 300\text{ W}\cdot\text{m}^{-1}\cdot\text{K}^{-1}$ and a cross-sectional area $A_1 = 4.0 \times 10^{-4}\text{ m}^2$. Slab 2 has a thermal conductivity $k_2 = 100\text{ W}\cdot\text{m}^{-1}\cdot\text{K}^{-1}$ and a cross-sectional area $A_2 = 6.0 \times 10^{-4}\text{ m}^2$. Assuming steady-state heat conduction and no lateral heat loss, what percentage of the total heat transferred per second between the reservoirs conducts through Slab 1?