How Does Adding Heat Affect Pressure in a Sealed Steam Container?

In summary, a sealed, rigid container containing steam at given initial conditions of 200 deg C, 10kg mass, and 1m^3 volume has heat added until it reaches a final state of 350 deg C. No work is done on the system, and the change in internal energy is 1759 KJ. The heat added to the system is also 1759 KJ, and the final system pressure can be calculated using the ideal gas equation.
  • #1
TheBelgiumWaff
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Homework Statement



Given: A sealed, rigid container (cannot change shape or size) containing steam at the shown conditions has heat added until it reaches the final shown state.

Determine: a) heat added, b) work performed, c) change in internal energy of the system, and d) final system pressure

Homework Equations



Q = W + Δu

Also given: T1= 200 deg C, mass = 10kg, volume = 1m^3 (for initial conditions)
T2 = 350 C (for final conditions)

The pressures I found in the thermo tables for the corresponding temperatures are:
P1 = 1554.9 KPa
P2 = 16529 KPa

The Attempt at a Solution



What I know is it's a saturated vapor system since it stated steam in the problem statement and closed system so no work is done.

From that I was able to answer b) W = 0 and c) Q = 0 + m(u1-u2) --> 10Kg(2594.2-2418.3) KJ/kg = 1759 KJ of internal energy. The u's I got from thermo tables.

The two I'm having a hard time with is a) the heat added to the system and d) final system pressure.
 
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  • #2
First of all, the "conditions" are not mentioned. But we can proceed nevertheless.

The OP answered (b) and (c). The answer of (a) is but the answer of (c). The answer to (d) can be obtained using the ideal gas equation.
 

FAQ: How Does Adding Heat Affect Pressure in a Sealed Steam Container?

What are initial and final conditions?

Initial and final conditions refer to the starting and ending states of a system or process. They are used in scientific experiments and calculations to establish a baseline and measure changes over time.

How do initial and final conditions affect an experiment?

Initial and final conditions are crucial in experiments as they provide a reference point for comparison. By establishing the initial conditions, scientists can determine the changes that occur during the experiment and whether the final conditions meet the expected outcome.

Can initial and final conditions be controlled in an experiment?

In most cases, initial and final conditions can be controlled to some extent in an experiment. This involves carefully selecting and setting up the initial conditions and ensuring that the final conditions are accurately measured. However, some factors may be beyond the control of the scientist, leading to variations in the final conditions.

How are initial and final conditions calculated?

The calculation of initial and final conditions depends on the specific experiment and the variables involved. In some cases, the initial and final conditions may be directly measured, while in others, they may be calculated using equations and mathematical models.

Why are initial and final conditions important in scientific research?

Initial and final conditions are essential in scientific research as they help to ensure the accuracy and reliability of the results. By controlling and accurately measuring the initial and final conditions, scientists can minimize the impact of external factors and draw more valid conclusions from their experiments.

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