How many kilograms of hydrogen is required to fill a 10m diameter balloon at a pressure of 755

How many kilograms of hydrogen is required to fill a 10m diameter balloon at a pressure of 755 mm Hg and a temperature of 30 degrees?

P * V = (m / M) * R * T, where P is the pressure (P = 755 mm Hg = 755 * 133.3 Pa = 100641.5 Pa), V is the volume of the ball (V = 1 / 6ΠD³, where D = 10 m), m is the mass of hydrogen, M is the molar mass of hydrogen (M = 0.002 kg / mol, diatomic gas), R is univers. gas constant (R = 8.31 J / (mol * K)), T – absolute temperature (T = 273 + 30 = 303 K).
m / M = P * V / (R * T).
m = P * V * M / (R * T) = 100641.5 * 1/6 * 3.14 * 10³ * 0.002 / (8.31 * 303) = 41.84 kg.
Answer: You need 41.84 kg of hydrogen.