A spherical balloon is filled with helium inside a factory where the temperature is 75 degrees Fahrenheit [°F to a pressure of 15 pounds-force per square inch psi. The filled balloon now has a diameter of 24 inches in . Helium is an ideal gas with a molecular weight of 4 grams per mole mol 6. Assume the amount of gas and the pressure inside the balloon remain constant. The balloon is taken outside to be used as a decoration at a fall garden party, where the temperature is 55 degrees Fahrenheit [ F].

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Chapter1: Units, Trigonometry. And Vectors
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P Determine the energy (@) vequived to heat
a cup of coffee
in units of joules [J].
R Q = m Cp AT
AT= Tr - Ti
OM: 0.7 kg
Cp = 4.18 Te - 85°C
Tis 40°C
m= 0.7 yal 1000q = 700g
AT: Te- Ti = 95°C - 40°C = 45°C
E
Q= 131 070 J
Transcribed Image Text:P Determine the energy (@) vequived to heat a cup of coffee in units of joules [J]. R Q = m Cp AT AT= Tr - Ti OM: 0.7 kg Cp = 4.18 Te - 85°C Tis 40°C m= 0.7 yal 1000q = 700g AT: Te- Ti = 95°C - 40°C = 45°C E Q= 131 070 J
A spherical balloon is filled with helium inside a factory where the temperature is 75
degrees Fahrenheit F to a pressure of 15 pounds-force per square inch psi.
The filled balloon now has a diameter of 24 inches in.
Helium is an ideal gas with a molecular weight of 4 grams per mole
mol
6.
Assume the amount of gas and the pressure inside the balloon remain constant.
The balloon is taken outside to be used as a decoration at a fall garden party, where
the temperature is 55 degrees Fahrenheit [ F].
Determine the volume of the filled balloon in the cooler conditions, in units of cubic
inches [in ].
Transcribed Image Text:A spherical balloon is filled with helium inside a factory where the temperature is 75 degrees Fahrenheit F to a pressure of 15 pounds-force per square inch psi. The filled balloon now has a diameter of 24 inches in. Helium is an ideal gas with a molecular weight of 4 grams per mole mol 6. Assume the amount of gas and the pressure inside the balloon remain constant. The balloon is taken outside to be used as a decoration at a fall garden party, where the temperature is 55 degrees Fahrenheit [ F]. Determine the volume of the filled balloon in the cooler conditions, in units of cubic inches [in ].
Expert Solution
Step 1

Given:

The initial temperature is T=75 oF.

The final temperature is T'=55 oF.

The diameter of the balloon is d=24 in.

The pressure is P=35 psi.

According to gas equation, the expression for volume (V') of the filled balloon is:

PVT=PV'T'VT=V'T'43πd23T=V'T'V'=πd3T'6T

 

 

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