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A gas cylinder contains 370 g oxygen gas at 30 atm pressure and 25°C. What mass of oxygen would escape if first the cylinder were heated to 75°C and then the valve were held open until gas pressure was 1 atm, the temperature being maintained at 75°C?

Answer»

cuz since you are using a gas cylinder, which is a rigid container, the volume won't change n1 = 370 g x 1mole / 32.0 g = 11.56 g T1 = 25 C = 298 K P1 = 30.0 atm n2 = ? T2 = 75 C = 348 K P2 = 1.00 atm R = 0.0821 L x atm / k x mole First find the volume of the container using the IDEAL Gas Law P1V1 = n1RT1 V1 = n1RT1 / P1 V1 = 11.56 mole x (0.0821 L x atm / k x mole) x 298k /30.0 atm V1 = 9.43L Now find the number of mole in enviroment 2P2V2 = n2RT2 n2 = P2V2 / RT2 n2 = 1.00 atm x 9.43L / ( ( 0.0821 L x atm / k x mole) x 348k) n2 = 0.330 mole n escaped = n1 - n2 n escaped = 11.56 mole - 0.330 mole n escaped = 11.23 mole g escaped = 11.23 mole x 32.0 g / 1 mole g escaped = 359g .



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