The balloon, the volume of which is 600 m3, is filled with hydrogen at a temperature of 27 ° C and a pressure

| July 6, 2021 | education

The balloon, the volume of which is 600 m3, is filled with hydrogen at a temperature of 27 ° C and a pressure of 10 ^ 5 Pa. Before filling the balloon, hydrogen was in gas bombs at a pressure of 4 × 10 ^ 6 Pa and a temperature of 7 ° C. What is the volume of each gas bomb if it took 200 of them?

Data: Vsh (balloon volume) = 600 m3; Tsh (temperature of hydrogen in the ball) = 300 K (27 ºС); Psh (hydrogen pressure in the ball) = 10 ^ 5 Pa; Pb (hydrogen pressure in gas bombs) = 4 * 10 ^ 6 Pa; Tb (temperature of hydrogen in a gas bomb) = 280 K (7 ºС); N (number of spent gas bombs) = 200 pcs.

1) The total volume of gas bombs: Psh * Vsh / Tsh = Pb * Vb / Tb, from where we express: Vb = Psh * Vsh * Tb / (Tsh * Rb) = 10 ^ 5 * 600 * 280 / (300 * 4 * 10 ^ 6) = 14 m3.

2) The volume of one gas bomb: Vb1 = Vb / N = 14/200 = 0.07 m3.

Answer: Each hydrogen gas bomb had a volume of 0.07 m3.



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