Two identical gas cylinders each contain 20.0 kg of compresses air at 1.00 x10 6

Question

Two identical gas cylinders each contain 20.0 kg of compresses air at 1.00 x106 Pa and 275 K. One of the cylinders if fitted with a safety valve that releases air into the atmosphere if and only if the pressure in the cylinders raises above 1.10 x106 Pa (the other cylinder does not have a pressure release valve). The temperature of the cylinders is then raised to 310 K. Determine:

(a) The pressure in the cylinder without the pressure release valve.

(b) The mass of gas that escapes from the cylinder with the pressure release valve.

Explanation / Answer

a)

P1 = 1.00*10^6 Pa P2 = ?

T1 = 275 K T2 = 310 K

P1/T1 = P2/T2

1.00*10^6 / 275 = P2/310

P2 = 1.00 * 10^6 * 310 /275

= 1.12 * 10^6 Pa

b)

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