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?

Question

3709 views around the world

You can reuse this answer
Creative Commons License

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"#