A gas at pressure of 5.0 bar from 0 to 546°c and simultaneously compressed to one third of its original volume.What will be the final pressure in bar?

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Answer 1 · 2016-10-01T08:29:23

Final pressure =5 bar

#"Initial Pressure of the gas"=P_1=5" bar"#

#"Initial Volume of the gas"=V_1 L#

#"Initial Temperature of the gas"=T_1=(0+273)K=273K#

#"Final pressure of the gas"=P_2=?#

#"Final Volume of the gas"=V_2 L#

#"Final Temperature of the gas"=T_2=(546+273)K=819K#

Given condition is the is compressed to one third of its original volume.

So #V_1=3V_2#

We know from gas law

#(P_2V_2)/T_2=(P_1V_1)/T_1#

#(P_2V_2)/819=(5xx3V_2)/273#

#P_2=(5xx3xxcancel819^3)/cancel273" bar"=45" bar"#