Weather balloons are high altitude balloons that are capable of reaching an altitude of 40 km (or 25 miles). They are usually filled with hydrogen or helium gas. One such balloon is filled with air that is initially at a temperature of 311 K and at atmospheric pressure. This particular balloon can expand to a maximum diameter of 32 m when it reaches an altitude where the pressure and temperature are 0.028 atm and 190 K respectively. Determine the diameter of the balloon at lift off.

Q: A quantity of gas occupies a volume of 0.3m3 at a pressure of 100 MN/m2  and a  temperature of 20oC.…

A: Write the given data. P1=100 MN/m2V1=0.3 m3T1=20 °CP2=500 MN/m2

Q: The jet plane is flying upward such that its wings make an angle of attack of 15⁰ with the…

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Q: In a Newtonian fluid: the shear strain is directly proportional to the shear stress. the rate of…

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Q: From about 12 to 20 km, the temperature in the stratosphere is constant at 217 K. Assuming the…

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Q: A mass of gas has a pressure of 1.5 MPa. Volume of 820 cm and temperature of 124 ° C if the…

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Q: Air is contained in a vertical piston-cylinder assembly fitted with an electrical resistor. The…

A: Heat: Heat is energy that travels between two or more bodies by virtue of temperature difference…

Q: A gas is initially at 0°C and 0 gage pressure. The temperature is raised to 171°C at constant…

A: To find new gage pressure?

Q: The density of oxygen contained in a tank is 2.0 kg/m3 when the temperature is 25°C. Determine the…

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Q: A soccer referee inflates a soccer ball to the standard required measured pressure for a game of…

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Q: Humans are most comfortable when the temperature is between 65°F and 75°F. Express these temperature…

A: Temperature range : 65°F to 75°Fa) Conversion into C° :- → Relation between C° to F is      T…

Q: om 20 ft long, 15 ft wide, and 8 ft high has standard atmospheric pressure and temperature of 2116…

A: Given:Dimensions of the room=20 ft x 15 ft x 8 ftInitial pressure, P1=2116 lb/ft2Initial…

Q: The speed of an aircraft flying at an altitude of 11 km is measured by a pitot-static probe. If the…

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Q: Determine also the  pressures P1, and P3, at sections 1 and 3 respectively if the pressure P2, at…

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Q: Determine the density, specific gravity, and mass of the air in a room whose dimensions are 4 m × 5…

A: Volume, V= 4 m × 5 m × 6 m= 120 m3 Pressure, P= 100 kPa Temperature, T= 25°C= 25 + 273 K= 298 K…

Q: A 1-m tank containing air at 10 °C and 350 kPa is connected through a valve to another tank…

A: Volume of the first tank is, V1=1 m3. Temperature of the air in first tank is, T1=10 °C. Pressure of…

Q: Define pressure in a liquid at rest increases linearly with distance from the free surface.

A: Consider a small body submerged in water. Consider the cross-section area of body is dA. Assume a…

Q: Cylindrical vessel of 1m diameter and 4 m length has hydrogen gas at pressure of 100 kpa and 27 °C.…

A: Given data: d=1 mL=4 mP1=100 kPaP2=125 kPa Need to determine the amount of heat to be supplied so as…

Q: a close rigid containerhas a volume of 1 m3 and holds air at 344.8 kPa and 273 kelvin. Heat is added…

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Q: A thin plate moves between two parallel, horizontal, stationary flat surfaces at a constant velocity…

A: Given, Velocity of plate(F) = 5 m/s μ = 0.9 N.s/m2  a) Force required to maintain the motion when…

Q: The temperature of an air is at 30°C and is held at a pressure of 200 kPa absolute in a 500-liter…

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Q: A soccer referee inflates a soccer ball to the standard required measured pressure for a game of…

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Q: People buying food in sealed bags at high elevations often notice that the bags are puffed up…

A: Initial pressure of the air, Pi = 0.98 atm Initial temperature of the air, Ti = 21 °C = 294 K Final…

Q: A closed container contains 1.5m high of water, 2.5m high of oil (SG= 0.8), an unknown liquid (SG=…

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Q: Determine the specific gravity of carbon dioxide gas (R = 0.18896 kJ/kgm K) at 45.19°C and 158.96…

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Q: A vacuum gage connected to a tank reads 45 kPa at a location where the barometric reading is 755…

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Q: Determine the specific gravity of carbon dioxide gas (R = 0.18896 kJ/kgm K) at 42.98°C and 153.69…

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Q: (3) The barometer of a mountain hiker reads 757 mmHg at the beginning of a hiking trip and 715 mmHg…

A: Given data  at beginning of journey  z1 = 757 mm Hg  at the end of journey  z2 = 715 mm Hg  g = 9.81…

Q: Air is contained in a vertical piston–cylinder assembly fitted with an electrical resistor. The…

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Q: Some people think that ice skates slide on ice because ice melts at the pressure exerted by the…

A: To determine the pressure of the student exerted on the ice, we will apply the relation as follows:…

Q: depends on the temperature of the air in the tire. When the air temperature is 25 °C, the pressure…

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Q: Determine the specific gravity of carbon dioxide gas (R = 0.18896 kJ/kgm K) at 42.89°C and 150.72…

A: Given data: R=0.18896 kJ/kg.KT=42.89°CP=150.72 kPa Need to determine the specific gravity of carbon…

Q: The density of oxygen contained in a tank is 2.0 kg/m3 when the temperature is 25°C. Determine the…

A: Givenρ=2 kg/m3T=25oC=25+273=298 kPatm=97 kPaR=2.598×102 J/kgK  =0.2598 kJ/kgK

Q: hot air is compressed polytropically so that the quantity pvn is constant. if 0.02m3 of air at…

A: Given Data  Atmospheric pressure, P1=101.3 KPA Gauge pressure, P2=405+101.3=506.3 Kpa Initial…

Q: A large tank is divided into two equal volumes. One half of the tank is filled with saturated water…

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Thermodynamic Relations

Thermodynamics is the division of physics that deals with the transfer of any kind of energy, whether it be heat, temperature, or work, from one object to another.