2 . 2 g of nitrous oxide N 2 O gas is cooled at a constant pressure of 1 atm from 310 K to 270 K causing the compression of the gas from 217 . 1 mL to 167 . 75 mL . The change in internal energy of the process, △ U is ' - x ' J . The value of ' x ' is _____. [nearest integer] (Given: atomic mass of N = 14 g mol - 1 and of O = 16 g mol - 1 . Molar heat capacity of N 2 O is 100 JK - 1 mol - 1 )

Step-by-step solution

Molecular weight of nitrous oxide ( ( N ₂ O )=44 ~g / mol ) Number of moles of ( N ₂ O = 2.2 44 0.05 ~mol ) Specific heat capacity of ( N ₂ O =880 ~J / g . K ) ( ) Heat release on cooling from (310 ~K ) to (270 ~K ) (q=-2.2 880 40 ~K ) (q=-77.44 KJ ) Negative sign indicates heat released. ( ) Work done by surrounding on system to compares the gas from (217.1 ml ) to (167.75 ml ) at constant pressure. It means work done by surrounding is irreversible. ( aligned & W= P V & =1.01 10^5 (167.75 217.1 ml l) & =1.01 10^5