PROBLEM SOLVING. Solve the following problems. Show your complete solution. Box ur final answer. Use the extra sheet of paper for this part of examination. A gas is in a closed container and is heated with 10 J of energy causing the lid to rise 2 m with N force. What is the total change in the energy of the system? Use first law of rmodynamics to answer this.

To solve this problem, we will use the first law of thermodynamics, which states that the total change in the energy of a system is equal to the heat added to the system minus the work done by the system. Given: - Heat added to the system = 10 J - Work done by the system = N force * 2 m First, we need to calculate the work done by the system. Since the force is applied over a distance of 2 m, the work done can be calculated using the formula: \[ \text{Work} = \text{Force} \times \text{Distance} \] Given that the force is N and the distance is 2 m, we can calculate the work done. Next, we will use the first law of thermodynamics to find the total change in the energy of the system. The first law of thermodynamics is given by: \[ \Delta E = Q - W \] where: - \( \Delta E \) is the total change in the energy of the system - \( Q \) is the heat added to the system - \( W \) is the work done by the system Now, let's calculate the work done and then use the first law of thermodynamics to find the total change in the energy of the system. Simplify the expression by following steps: - step0: Solution: \(N\times 2\) - step1: Reorder the terms: \(2N\) Calculate or simplify the expression \( 10 - 2N \). Simplify the expression by following steps: - step0: Solution: \(10-2N\) The work done by the system is \(2N\) Joules. Now, we can use the first law of thermodynamics to find the total change in the energy of the system: \[ \Delta E = Q - W \] Substitute the values: \[ \Delta E = 10 - 2N \] Therefore, the total change in the energy of the system is \(10 - 2N\) Joules.