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Question: At 300 K and under pressure of 100 atm the Z for O2 is 0.96. At 600 K and under pressure of 150 atm ...

At 300 K and under pressure of 100 atm the Z for O2 is 0.96. At 600 K and under pressure of 150 atm the Z for O2 is 0.8 for the same mass of O2. If the volume of O2 at 300 K and 100 atm press is 2L, then what mass of O2 (g) is required to fill a vessel of capacity 200 L at 600 K & 150 atm ?

A

36 kg

B

24.39 kg

C

16.82 kg

D

9.98 kg

Answer

24.39 kg

Explanation

Solution

P2 V2 = n Z2 RT2

150 × 200 = n × 0.8 × 0.082 × 600

or n = 150×2000.8×0.082×600\frac { 150 \times 200 } { 0.8 \times 0.082 \times 600 } = 762.2 mole ŗ 24.39 kg