A gas is allowed to expand in a well insulated container against constant external pressure of from an initial volume of to a final volume of . The change in internal energy of the gas in joules will be ?
Explanation for the correct option:
Step 1: Analyzing Given data:
The constant external pressure is given as=
The initial volume =
and final volume =
Step 2: Formula for calculating :
According to the first law of thermodynamics, the formula related to the change in the internal energy can be given as:
(where = change in internal energy of the system
heat transfer between the system
work done by the system)
Step 3: Calculation of :
Also, as per the given question, the gas is allowed to expand in a well-insulated container, hence, heat transfer i.e
Hence, the change in internal energy of the gas in joules will be .
Thus, option D is correct.