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Chapter 5: Q5.28P (page 228)

A sample of chlorine gas is confined in a 5.0-L container at 328 torr and 37掳C. How many moles of gas are in the sample?

Short Answer

Expert verified

Answer

The number of moles of gas in the sample is 0.085 mol.

Step by step solution

01

Ideal gas law

The ideal gas law equation is,

PV=nRT

The ideal gas law for the given condition can be written as,

n=PVRT

Here,

V is the volume (5.0 L)

T is the temperature (37掳C=310K).

P is the pressure (328 torr).

02

Determination of moles

Before putting the value in the equation pressure needs to be changes in atm as the value of gas constant used will be in LatmK-1mol-1.

1torr=0.00132atm

And,

328torr脳0.001321torr=0.433atm

The number of moles of gas in the sample is,

n=PVRTn=0.433atm脳5.0L0.0821atmLK-1mol-1310Kn=0.085mol

Thus, the number of moles of gas in the sample are 0.085 mol.

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