a helium gas balloon has a volume of 1 m3 and a gas pressure of 1.2 atm. when it is high in the sky, the volume increases to 2 m3. assuming the gas temperature does not change and there is no gas leakage, the gas pressu

Respuesta :

Using the ideal gas law equation, the gas pressure of helium becomes 0.6atm when the volume increases to 2[tex]m^3[/tex].

The general gas equation, often known as the ideal gas law, is the equation of state for a fictitious ideal gas. Although it has several restrictions, it is a decent approximation of the behaviour of numerous gases under various circumstances.

According to the ideal gas law, all gases have an equal number of molecules in an equal volume at a given temperature and pressure.

Ideal gas law:

PV = nRT

where,

P – Pressure

V – Volume

n – No. of moles

R – Gas constant

T - Time

Given:

V1 = 1[tex]m^3[/tex]

P1 = 1.2atm

V2 = 2[tex]m^3[/tex]

To find:

P2 = ?

Formula:

PV = nRT

Calculations:

PV/T = constant

P1V1/T1 = P2V2/T2

Since T1 = T2,

P1V1 = P2V2

1.2 x 1 = P2 x 2

P2 = 1.2 x 1 / 2

P2 = 0.6atm

Result:

The gas pressure of helium becomes 0.6atm when the balloon rises high and the volume increases to 2[tex]m^3[/tex].

The complete question is:

a helium gas balloon has a volume of 1[tex]m^3[/tex] and a gas pressure of 1.2atm. when it is high in the sky, the volume increases to 2[tex]m^3[/tex]. assuming the gas temperature does not change and there is no gas leakage, the gas pressure becomes _____atm.

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