Acompression, at a constant pressure of 140 kpa, is performed on 4.0 moles of an ideal monatomic gas (cv = 3/2 r). the compression reduces the volume of the gas from 0.26 m^3 to 0.12 m^3. the change in the internal energy of the gas, in kj is ("^3" means to the power of 3)

The change in internal energy of the gas is 29.414 kJ.

Explanation:

To calculate the temperature of the gas at different volumes, we use ideal gas equation:

We are given:

Conversion used:  

Putting values in above equation:

We are given:

Putting values in above equation:

where,

= change in internal energy = ?

n = number of moles = 4.0 mol

= heat capacity at constant volume =

= final temperature = 1095.06 K

= initial temperature = 505.41 K

Putting values in above equation, we get:

Converting this value in kilojoules, we use the conversion factor:

1 kJ = 1000 J

So,

Hence, the change in internal energy of the gas is 29.414 kJ.

14,16 18 reacts with group