An initially deflated and flat balloon is connected by a valve to a storage tank

Question

An initially deflated and flat balloon is connected by a valve to a storage tank containing helium gas at 1 MPa at ambient temperature of 20 degree C. The valve is opened and the balloon is inflated at constant pressure of 100 kPa (atmospheric pressure) until it becomes spherical at D1 = 1 m. If the balloon is larger than this, the balloon material is stretched giving a pressure inside as: P = P0 + C (1-D1/D) D1/D The balloon is slowly inflated to a final diameter of 4 m, at which point the pressure inside is 400 kPa. The temperature remains constant at 20 degree C. Determine the work done during the overall process.

Explanation / Answer

At the end of the process we have D = 4 m so we can get the constant C as
P = 400 = P0 + C*( 1

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