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QUESTION

A spherical balloon containing 5.

2. A spherical balloon containing 5.035 mg of hydrogen gas in its standard state of aggregation behaving ideally is attached to one end of an open tube cylindrical mercury manometer (see figure) where atmospheric pressure is 101325 Pa and the temperature is 293.15K? If the tube has a radius of 1.000 mm, there is 50.00 cm between the balloon and the mercury, and a difference in height between the mercury levels of 45.00 cm. What is the volume of the balloon in m3? What is the corresponding diameter in cm of the balloon assuming it is a sphere? You may assume that the density of the mercury is 13.5462 x 103 kg/m3 and that g = 9.807 m/s2. Hint: Determine the pressure and use this information to deduce the total volume of the system. Then use the total volume and the dimensions of the tube filled with H2, to determine the volume of the balloon. R=?

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