गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

सभी निष्कर्ष सत्य है निष्कर्ष I , II , तथा IV सत्य है निष्कर्ष I , III , तथा IV सत्य है निष्कर्ष III तथा IV सत्य है

Solution : (I ) `Z =1 to ` आदर्श व्यव्हार
(II )`Z gt 1 to ` दाब लगने पर, आयतन घटता है
(III ) `Z lt 1 to ` गैस आसानी से द्रवीकृत की का सकती है
(IV ) कम दाब पर, `Z to1 ` का अर्थ होता है की गैस आदर्श व्यव्हार तप पहुंच जाती है।

चेतावनी: इस टेक्स्ट में गलतियाँ हो सकती हैं। सॉफ्टवेर के द्वारा ऑडियो को टेक्स्ट में बदला गया है। ऑडियो सुन्ना चाहिये।

बिहार के अध्ययन को एग्रोसटलॉजी का अध्ययन कहते हैं

bihar ke adhyayan ko egrosatalaji ka adhyayan kehte hain

बिहार के अध्ययन को एग्रोसटलॉजी का अध्ययन कहते हैं

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गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
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गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

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A subfield of fluid statics, aerostatics is the study of gases that are not in motion with respect to the coordinate system in which they are considered. The corresponding study of gases in motion is called aerodynamics.

Aerostatics studies density allocation, especially in air. One of the applications of this is the barometric formula.

An aerostat is a lighter than air craft, such as an airship or balloon, which uses the principles of aerostatics to float.

Basic laws[edit]

Treatment of the equations of gaseous behaviour at rest is generally taken, as in hydrostatics, to begin with a consideration of the general equations of momentum for fluid flow, which can be expressed as:

ρ[∂Uj∂t+Ui∂Uj∂t]=−∂P∂xj−∂τij∂xi+ρgj{\displaystyle \rho [{\partial U_{j} \over \partial t}+U_{i}{\partial U_{j} \over \partial t}]=-{\partial P \over \partial x_{j}}-{\partial \tau _{ij} \over \partial x_{i}}+\rho g_{j}}

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
,

where ρ{\displaystyle \rho }

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
is the mass density of the fluid, Uj{\displaystyle U_{j}}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
is the instantaneous velocity, P{\displaystyle P}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
is fluid pressure, g{\displaystyle g}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
are the external body forces acting on the fluid, and τij{\displaystyle \tau _{ij}}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
is the momentum transport coefficient. As the fluid's static nature mandates that Uj=0{\displaystyle U_{j}=0}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
, and that τij=0{\displaystyle \tau _{ij}=0}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
, the following set of partial differential equations representing the basic equations of aerostatics is found.[1]: 154 

∂P∂xj=ρgj{\displaystyle {\partial P \over \partial x_{j}}=\rho g_{j}}

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai

However, the presence of a non-constant density as is found in gaseous fluid systems (due to the compressibility of gases) requires the inclusion of the ideal gas law:

Pρ=RT{\displaystyle {P \over \rho }=RT}

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
,

where R{\displaystyle R}

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
denotes the universal gas constant, and T{\displaystyle T}
गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
the temperature of the gas, in order to render the valid aerostatic partial differential equations:

∂P∂xj=ρgj^=P RTgj^{\displaystyle {\partial P \over \partial x_{j}}=\rho {\hat {g_{j}}}={P \over \ RT}{\hat {g_{j}}}}

गैसों का अध्ययन क्या कहलाता है - gaison ka adhyayan kya kahalaata hai
,

which can be employed to compute the pressure distribution in gases whose thermodynamic states are given by the equation of state for ideal gases.[1]: 183