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]

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