A rigid tank contains 71.0 g of chlorine gas (Cl2) at a temperature of 70°C and...

A rigid tank contains 71.0 g of chlorine gas (Cl2) at a temperature of 70°C and an absolute pressure of 5.20 × 105 Pa. Later, the temperature of the tank has dropped to 37°C and, due to a leak, the pressure has dropped to 3.50 × 105 Pa. How many grams of chlorine gas have leaked out of the tank? (The mass per mole of Cl2 is 70.9 g/mol.)

Expert Solution

Givne data

P1 = 5.20*10^5 Pa, T1 = 70⁰C, n1 =weight / molecular weight (w1/mw) = 71g/70.9 g/mol =1.0014

P2 = 3.50*10^5 Pa, T2 = 37⁰C , n2 = weight / molecular weight = w2/ 70.9

ideal gas equation PV = nRT

P1/P2 = n1T1/n2T2

n2= n1T1P2/P1T2

w2 = w1T1P2/P1T2

= 71*343*3.5*10^5 /( 5.2*10^5*310)

= 52.875 g

the mass of chlorine gas have leaked out of the tank is 18.125 g

genius_generous answered 2 months ago

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