(b) Two containers A and B are joined by a tube of negligible volume, as illustrated in

Q#1 (Past Exam Paper – June 2011 Paper 42 & 43 Q2)

(a) State what is meant by a mole. [2]

(b) Two containers A and B are joined by a tube of negligible volume, as illustrated in
Fig. 2.1.


Fig. 2.1

The containers are filled with an ideal gas at a pressure of 2.3 × 105 Pa.

The gas in container A has volume 3.1 × 103 cm3 and is at a temperature of 17 °C.

The gas in container B has volume 4.6 × 103 cm3 and is at a temperature of 30 °C.

Calculate the total amount of gas, in mol, in the containers. [4]


Solution:
(a) A mole is an amount of a substance containing the same number of particles (atoms / molecules) as in 0.012kg of carbon-12.

(b)
pV = nRT

(n = pV / RT)

{total amount of gas, in mol, n = nA + nB}
 
Total amount = (2.3×105 × 3.1×10-3) / (8.31×290) + (2.3×105 × 4.6×10-3) / (8.31×303)

Total amount = 0.296 + 0.420 = 0.716 mol

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