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Chapter 3: Q7E (page 574)

The pressure of a gas at the triple point of water is 1.35 atm. If its volume remains unchanged, what will its pressure be at the temperature at which CO2 solidifies?

Short Answer

Expert verified

The pressure at the triple point where the CO2 solidifies is 0.964 atm .

Step by step solution

01

Step 1: Identification of given data

Pressure of a gas at the triple point of water is P1=1.35atm

02

Concept of Triple point.

Triple point is a singular point designating pressure and temperature at which the three phases. i.e. solid, liquid and gas of any pure substance can exist at the same time while in equilibrium.

03

Determination of the pressure at the temperature where CO2 solidifies.

The volume in this case is constant. Therefore, the relation connecting the temperature and pressure is,T2T1=P2P1, Here, T is in units of K

Solve for P2,

P2=P1T2T1

For CO2, T1=Ttriple=273.16K and temperature at which the CO2 solidifies isT2=TCO2=195K

Substitute all the values in the above equation,

P2=(1.35atm)195K273.16K=0.964atm

Thus, the pressure at which CO2 solidifies is 0.964 atm

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