The internal energy of air is given, at ordinary temperatures, by u = u, + 0.718t where u is in kJ/kg, u̟ is any arbitrary value of u at 0°C, kJ/kg and t is temperature in °C. Also for air, pv = 0.287 (t + 273), where p is in kPa and v is in m³/kg. (i) An evacuated bottle is fitted with a valve through which air from the atmosphere, at 760 mm Hg and 25°C, is allowed to flow slowly to fill the bottle. If no heat is transferred to or from the air in the bottle, what will its temperature be when the pressure in the bottle reaches 760 mm Hg ? (ii) If the bottle initially contains 0.03 m³ of air at 400 mm Hg and 25°C, what will the temperature be when the pressure in the bottle reaches 760 mm of

Elements Of Electromagnetics
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80. The internal energy of air is given, at ordinary
temperatures, by u = u, + 0.718t
where u is in kJ/kg, u, is any arbitrary value of u at 0°C,
kJ/kg and t is temperature in °C.
Also for air, pu = 0.287 (t + 273), where p is in kPa and
v is in m/kg.
(i) An evacuated bottle is fitted with a valve through
which air from the atmosphere, at 760 mm Hg and
25°C, is allowed to flow slowly to fill the bottle. If no
heat is transferred to or from the air in the bottle,
what will its temperature be when the pressure in
the bottle reaches 760 mm Hg ?
(ii) If the bottle initially contains 0.03 m3 of air at
400 mm Hg and 25°C, what will the temperature be
when the pressure in the bottle reaches 760 mm of
Hg ?
[Ans. (i) 144.2°C ; (ii) 71.6°C]
Transcribed Image Text:80. The internal energy of air is given, at ordinary temperatures, by u = u, + 0.718t where u is in kJ/kg, u, is any arbitrary value of u at 0°C, kJ/kg and t is temperature in °C. Also for air, pu = 0.287 (t + 273), where p is in kPa and v is in m/kg. (i) An evacuated bottle is fitted with a valve through which air from the atmosphere, at 760 mm Hg and 25°C, is allowed to flow slowly to fill the bottle. If no heat is transferred to or from the air in the bottle, what will its temperature be when the pressure in the bottle reaches 760 mm Hg ? (ii) If the bottle initially contains 0.03 m3 of air at 400 mm Hg and 25°C, what will the temperature be when the pressure in the bottle reaches 760 mm of Hg ? [Ans. (i) 144.2°C ; (ii) 71.6°C]
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