Question

An initially deflated and 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, P_o = 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 a pressure inside as

P = P₀ + C(1 − D_1/D) D_1/D 

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 this inflation process? What is the pressure inside the helium storage tank at this time? 

Answer 1

At the end of the process we have D = 4 m so we can get the constant C as

Comments

How u got p tank 2000