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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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