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Chapter 3: Q63PP (page 645)

In a test of the effects of low temperatures on the gas mixture, a cylinder filled at 20.0°C to 2000 psi (gauge pressure) is cooled slowly and the pressure is monitored. What is the expected pressure at -5.00°C if the gas remains a homogeneous mixture? (a) 500 psi; (b) 1500 psi; (c) 1830 psi; (d) 1920 psi.

Short Answer

Expert verified

1830psi is the correct answer

Step by step solution

01

Step 1:

The volume is constant because in homogenous mixture no phase change happens. Use ideal gas law to find initial and final states relation.

pV = nRT

02

Step 2:

V, n and R are constants

Thus,

p1T1=p2T2p2=T2p1T1

Put values of T2.p1,T1

Therefore,

p2=T2p1T1p2=2862000293p2=1830psi

Thus, (c) 1830psi is the correct answer.

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