Two moles of an ideal monoatomic gas undergoes a process 1 - 2 - 3 as shown in figure. Then total heat supplied to the gas in the process is

Question

Two moles of an ideal monoatomic gas undergoes a process $$1$$ $$-$$ $$2$$ $$-$$ $$3$$ as shown in figure.  Then total heat supplied to the gas in the process is

Infinity Learn · Accepted Answer

$$(4)Q12=Heat$$  supplied  in  the  process  $$1$$−$$2=2$$ ×  $$3R2$$×  $$2T0$$−$$T0=3RT0Process$$  $$2$$−$$3$$  is  isothermal.  Therefore  heat  supplied tothe  gas,  $$Q23=Work$$  done  by the  $$gas=P2V2$$  $$lnV3V2=nRT2ln$$ $$V3V2$$  $$=$$  $$2$$.R.  $$2T0$$ $$lnV0V0$$∴  $$Q23$$ $$=$$  $$4RT0ln2$$∴    Total  heat  supplied  to  the  $$gas=Q12+Q23$$  $$=$$ $$RT03+ln$$ $$16$$

Two moles of an ideal monoatomic gas undergoes a process 1 - 2 - 3 as shown in figure. Then total heat supplied to the gas in the process is

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