Answered

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If the final pressure is 0.500 times the initial pressure, what is the ratio of the final density to the initial density?

Sagot :

By ideal gas approximation, the final to initial density ratio is 1/2.

We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation

P . V = n . R . T

where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.

From the question above, we know that

P2 = 0.5 P1

Pressure is inversely proportional to pressure, hence it can be written as

P ~ (1/V)

Assuming the temperature does not change, the ratio of pressure is

P1 / P2 = (1/V1) / (1/V2)

P1 / P2 = V2 / V1

P1 / 0.5P1 = V2 / V1

V2 = 2 V1

Find the density ratio

ρ2 / ρ1 = (m/V2) / (m/V1)

ρ2 / ρ1 = V1 / V2

ρ2 / ρ1 = V1 / 2V1

ρ2 / ρ1 = 1 / 2

Find more on ideal gas at: https://brainly.com/question/25290815

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