Final answer:
To calculate the work done in the compression, multiply the force and distance. The work is negative with respect to the air in the pump. The exact change in internal energy cannot be determined without information about heat.
Step-by-step explanation:
To calculate the work done in the compression, we can use the formula:
Work = Force x Distance
The force can be calculated using the formula:
Force = Pressure x Area
Since the inner diameter of the pump is given, we can calculate the area using the formula:
Area = pi x (radius)^2
Finally, by substituting the values into the formulas and multiplying, we can find the work done in the compression.
To determine if the work is positive or negative with respect to the air in the pump, we need to consider the sign convention for work. In this case, since the air is being compressed and work is being done on the air, the work is considered to be negative.
The change in internal energy of the system can be determined by using the equation:
Change in Internal Energy = Work + Heat
Since the question does not provide any information about heat, we cannot determine the exact change in internal energy.