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PhysicsClassical Physics

What Is Diffraction? Find a Single-Slit Width and Minimum Angle

Using the far-field condition for single-slit minima, the slit width is 1.56 μm and the first dark minimum occurs at 20.7° from the central axis.

PhysicsClassical Physics

What Is Simple Harmonic Motion? Derive x(t), v(t), and a(t)

The oscillator has angular frequency 4.00 rad/s, with x(t) = 0.0200 cos(4.00t) m, v(t) = −0.0800 sin(4.00t) m/s, and a(t) = −0.320 cos(4.00t) m/s².

ChemistryGeneral Chemistry

How to Find the Molecular Formula from Percent Composition

A 100 g basis gives the empirical formula C₄H₅N₂O. Its 97.10 amu formula mass fits twice into 194.2 amu, so the molecular formula is C₈H₁₀N₄O₂.

ChemistryGeneral Chemistry

How Many Hydrogen Atoms Are in 0.1488 g of Phosphoric Acid?

The 0.1488 g sample contains 1.518 × 10⁻³ mol H₃PO₄. Multiplying by three hydrogen atoms per molecule and Avogadro’s constant gives 2.743 × 10²¹ H atoms.

ChemistryPhysical Chemistry

Enthalpy Change Formula: Find ΔH per Mole of Zinc

Zinc is limiting because 0.0450 mol HCl exceeds the 0.0410 mol required. Dividing the released heat, −3.14 kJ, by 0.0205 mol Zn gives ΔH = −153 kJ mol⁻¹ Zn.

ChemistryGeneral Chemistry

How to Find Actual Yield from Percent Yield and Theoretical Yield

Rearranging the percent-yield formula gives actual yield = 0.8840 × 19.98 g = 17.66232 g, which rounds to 17.66 g at four significant figures.

ChemistryPhysical Chemistry

What Is the Kinetic Molecular Theory? Why Gases Fill Any Container

Continuous random motion, elastic collisions, and negligible attraction allow ideal-gas particles to spread through the available volume of any container.

ChemistryPhysical Chemistry

What Is a Calorimeter? Calorimetry Pre-Lab Question

Calorimetry measures heat transfer; a calorimeter relates the measured temperature change to heat through the sample or calibrated apparatus heat capacity.

ChemistryGeneral Chemistry

Why Do Atoms Form a Chemical Bond? Stability, Forces, and Potential Energy

A stable chemical bond lowers system energy; attractive and repulsive interactions balance at an equilibrium separation, about 74 pm for H₂.