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To calculate the work done by the gas, we will use the equation:
Work = Force x Distance
In this case, force is the product of pressure and area:
Force = Pressure x Area
The area is given as 0.020 square meters. The pressure is given as 2.0 x 10^5 Pa.
Now, let's calculate the force:
Force = 2.0 x 10^5 Pa x 0.020 m²
= 4.0 x 10^3 N
The distance in this case is not given, but since the volume remains constant, the distance can be considered as zero (0). Therefore, no work is done by the gas in this scenario.
So, the work done by 0.020 meters squared of gas with an increase in pressure of 2.0 x 10^5 Pa and constant volume is zero.