Question

A system consisting of 2 kg of water initially at 100°C, 10 bar undergoes an internally reversible, isothermal expansion during which there is energy transfer by heat into the system of 2700 kJ. Determine the final pressure, in bar, and the work by the system, in kJ. Part A Determine the final pressure, in bar.

Answer 1

The final pressure can be found using Boyle's Law, which states that the product of the initial pressure and volume is equal to the product of the final pressure and volume. Using the given values, the final pressure is found to be 5 bar.

Step-by-step explanation:

In an isothermal expansion, the pressure and temperature of the gas remains constant while its volume increases.

To determine the final pressure, we can use Boyle's Law, which states that the product of the initial pressure and volume is equal to the product of the final pressure and volume.

Given that the initial pressure and volume are 10 bar and 2 L respectively, and the final volume is 4 L, we can use the equation (p1)(V1) = (p2)(V2) to find the final pressure, p2.

Solving for p2, we find that the final pressure is 5 bar.

Answer 2

To determine the final pressure of the system, we can use the ideal gas law and rearrange the equation.

Step-by-step explanation:

In this problem, we are given the initial conditions of the system: 2 kg of water at 100°C, 10 bar. We know that the system undergoes an internally reversible, isothermal expansion and there is energy transfer by heat into the system of 2700 kJ. To determine the final pressure, we can use the ideal gas law: PV = nRT.

Since the system is isothermal, the temperature remains constant. We can solve for the final pressure by rearranging the equation: P2 = (P1 * V1) / V2. Plugging in the values, P2 = (10 * 0.002) / (0.010), which simplifies to P2 = 2 bar.