An ideal gas initially at pressure $$1$$ bar is being compressed from $$30$$ $$m3$$ to $$10$$ $$m3$$ volume and its temperature decreases from $$320$$ K to $$280$$ K, then find the value of final pressure of the gas. [AIIMS $$2019$$]

Question

Infinity Learn · Accepted Answer

Given, initial pressure of ideal gas,                          $$p1$$ $$=$$ $$1$$ bar $$=$$ $$1$$ $$NM-2Initital$$ volume, $$V1$$ $$=$$ $$30$$ $$m3Final$$ volume, $$V2$$ $$=$$ $$10$$ $$m3Initial$$ temperature, $$T1$$ $$=$$ $$320$$ KFinal temperature, $$T2$$ $$=$$ $$280$$ KFinal pressure of gas, $$p2$$ $$=$$ ?From ideal gas equation,                             $$p1V1T1=p2V2T2$$⇒                      $$1$$×$$30320=p2$$×$$10280$$⇒                              $$p2$$ $$=$$ $$2.625$$ bar

An ideal gas initially at pressure 1 bar is being compressed from 30 m³ to 10 m³ volume and its temperature decreases from 320 K to 280 K, then find the value of final pressure of the gas. [AIIMS 2019]

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An ideal gas initially at pressure 1 bar is being compressed from 30 m3 to 10 m3 volume and its temperature decreases from 320 K to 280 K, then find the value of final pressure of the gas. [AIIMS 2019]

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An ideal gas initially at pressure 1 bar is being compressed from 30 m³ to 10 m³ volume and its temperature decreases from 320 K to 280 K, then find the value of final pressure of the gas. [AIIMS 2019]