An unknown number of moles of an ideal monoatomic gas expand reversibly from V i

Question

An unknown number of moles of an ideal monoatomic gas expand reversibly from Vi = 2.50 m3 to Vf = 3.40 m3, at a constant pressure of 1.83 atm and an initial temperature of 300 K.

Find the number of moles of gas.

Find the final temperature of the gas K.

Calculate the work done by the gas.
An unknown number of moles of an ideal monoatomic gas expand reversibly from Vi = 2.50 m3 to Vf = 3.40 m3, at a constant pressure of 1.83 atm and an initial temperature of 300 K.

Find the number of moles of gas.

Find the final temperature of the gas K.

Calculate the work done by the gas.

Explanation / Answer

PV=nRT

==> 1.83*2.5*1000=n*0.0821*300

==> n= 185.75 moles

B) V1/V2=T1/T2

==> T2=T1*V2/V1=300*3.4/2.5=408 K

C) Work= P*(V2-V1)=1.83*1.03E5*(3.4-2.5)=169641 J

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