P · Q = 4*1 + 1*2 + 0*3 = 4 + 2 + 0 = 6.

Surfactants lower the surface tension of water by disrupting the cohesive forces between water molecules.

The addition of salt to water can increase the surface tension due to the ionic interactions that enhance the cohesive forces among water molecules.

The addition of soap decreases the surface tension of water by disrupting the cohesive forces between water molecules.

The gravitational field strength decreases with the square of the distance from the point mass.

Doubling both masses results in a fourfold increase in gravitational force, as it is directly proportional to the product of the masses.

According to Newton's law of gravitation, if the distance is halved, the force increases by a factor of 4 (F ∝ 1/r²).

Gravitational force is directly proportional to the product of the masses. Tripling one mass triples the force.

The gravitational potential decreases as you move away from a planet.

The gravitational potential energy decreases as the two masses move closer together.

The gravitational potential energy increases as the object is lifted to a height 'h' above the ground.

A +M group increases the stability of a carbocation by donating electron density through resonance.

A -I group decreases the stability of a carbocation by withdrawing electron density.

Each O2 molecule has 2 oxygen atoms. Number of atoms = moles x Avogadro's number x 2 = 2 moles x 6.022 x 10^23 molecules/mole x 2 = 1.2044 x 10^24 atoms.

There are 100 centimeters in a meter.

The total arrangements = 6! / (3! * 2! * 1!) = 60.

The number of arrangements of n people at a round table is (n-1)!. For 4 people, it is 3! = 6.

The number of ways to choose 4 from 10 is given by 10C4 = 210.

The number of arrangements of 6 people at a round table is (6-1)! = 5! = 120.

The power set of the empty set contains only one subset, which is the empty set itself. Thus, it has 1 element.

Molar mass of C6H12O6 = 6*12 + 12*1 + 6*16 = 180 g/mol. Mass = 0.25 moles x 180 g/mol = 45 g.

Molar mass of KCl = 39 + 35.5 = 74.5 g/mol. Mass = moles x molar mass = 0.25 moles x 74.5 g/mol = 18.625 g.

Molar mass of H2SO4 = 98 g/mol. Mass = moles x molar mass = 0.25 moles x 98 g/mol = 24.5 g.

The molar mass of sodium is approximately 23 g/mol. Therefore, 0.5 moles of Na weigh 0.5 x 23 g = 11 g.

The molar mass of CO2 is 44 g/mol. Thus, 2 moles of CO2 = 2 x 44 g = 88 g.

Molar mass of glucose = 6*12 + 12*1 + 6*16 = 180 g/mol. Mass = moles x molar mass = 3 moles x 180 g/mol = 540 g.

C3H8 + 5O2 → 3CO2 + 4H2O. 1 mole of C3H8 produces 3 moles of CO2. Mass = 3 * 44 g = 132 g.

The molar mass of KCl is 39 g/mol (K) + 35.5 g/mol (Cl) = 74.5 g/mol. Therefore, 0.5 moles of KCl will weigh 0.5 x 74.5 g = 37.25 g.

To find the mass, use the formula: mass = moles x molar mass. Thus, 0.5 moles x 74.5 g/mol = 37.25 g.

The molar mass of KCl is approximately 74.5 g/mol. Therefore, 0.5 moles of KCl will weigh 0.5 x 74.5 g = 37.25 g.