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An initially deflated and now flat balloon is connected by
Chapter 2, Problem 124HP(choose chapter or problem)
Problem 124HP
An initially deflated and now flat balloon is connected by a valve to a 12-m3 storage tank containing helium gas at 2 MPa and ambient temperature, 20°C. The valve is opened and the balloon is inflated at constant pressure, P0 = 100 kPa, equal to ambient pressure, until it becomes spherical at D1 = 1 m. If the balloon is larger than this, the balloon material is stretched, giving an inside pressure of
The balloon is inflated to a final diameter of 4 m, at which point the pressure inside is 400 kPa. The temperature remains constant at 20°C. What is the maximum pressure inside the balloon at any time during the inflation process? What is the pressure inside the helium storage tank at this time?
Questions & Answers
QUESTION:
Problem 124HP
An initially deflated and now flat balloon is connected by a valve to a 12-m3 storage tank containing helium gas at 2 MPa and ambient temperature, 20°C. The valve is opened and the balloon is inflated at constant pressure, P0 = 100 kPa, equal to ambient pressure, until it becomes spherical at D1 = 1 m. If the balloon is larger than this, the balloon material is stretched, giving an inside pressure of
The balloon is inflated to a final diameter of 4 m, at which point the pressure inside is 400 kPa. The temperature remains constant at 20°C. What is the maximum pressure inside the balloon at any time during the inflation process? What is the pressure inside the helium storage tank at this time?
ANSWER:
Solution 124 HP:
Step 1 of 3:-
Here we have to find the pressure inside the balloon any time during the inflation process.
We also have to find the pressure inside the helium storage tank at the time of inflation.
The volume of the storage tank is,
.
The pressure inside the helium tank is, .
The ambient temperature is, .
is given as,
.
The diameter is given as, .
If the balloon diameter is larger than this, the pressure inside will change accordingly.
