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Nezavi [6.7K]
4 years ago
13

Identify the mathematical relationship that exists between pressure and volume, when temperature and quantity are held constant,

as being directly proportional or inversely proportional. Explain your answer and write an equation that relates pressure and volume to a constant, using variables, not the mathematical equation from the best fit line.
Physics
1 answer:
RSB [31]4 years ago
7 0

Answer:

BOYLE'S Law

Explanation:

Boyle's law states that at constant temperature the volume of a fixed quantity of an ideal gas is inversely proportional to the pressure of the gas.

Mathematically:

From the universal gas law we have:

P.V=n.R.T

where:

P = pressure of the gas

V = volume of the gas

n = no. of moles of gas

T = temperature of the gas

R = universal gas constant

when the mass of gas is fixed i.e. n is constant and temperature is also constant.

PV=constant

P\propto\frac{1}{V}

P_1.V_1=P_2.V_2

here the suffix 1 and 2 denote two different conditions of the same gas.

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Length= 6cm width= 3cm height= 1cm mass= 36g- what is the density
stellarik [79]

Answer;

2 g/cm³ or 2000 kg/m³

Solution;

Density is given by dividing the mass of a substance by its volume.

Density = Mass/volume

Mass = 36 g

Volume = length × width × height

            = 6 cm × 3 cm × 1 cm    

            = 18 cm ³

Therefore;

Density = 36 g/ 18 cm³

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3 years ago
Consider two parallel plate capacitors. The plates on Capacitor B have half the area as the plates on Capacitor A, and the plate
vichka [17]

Answer:

CB = 4.45 x 10⁻⁹ F = 4.45 nF

Explanation:

The capacitance of a parallel plate capacitor is given by the following formula:

C = ε₀A/d

where,

C = Capacitance

ε₀ = Permeability of free space

A = Area of plates

d = Distance between plates

FOR CAPACITOR A:

C = CA = 17.8 nF = 17.8 x 10⁻⁹ F

A = A₁

d = d₁

Therefore,

CA = ε₀A₁/d₁ = 17.8 x 10⁻⁹ F   ----------------- equation 1

FOR CAPACITOR B:

C = CB = ?

A = A₁/2

d = 2 d₁

Therefore,

CB = ε₀(A₁/2)/2d₁

CB = (1/4)(ε₀A₁/d₁)

using equation 1:

CB = (1/4)(17.8 X 10⁻⁹ F)

<u>CB = 4.45 x 10⁻⁹ F = 4.45 nF</u>

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