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

AI Thread Summary
Adding heat to a sealed, rigid steam container increases the internal energy and pressure of the system. The initial conditions include steam at 200°C and a pressure of 1554.9 KPa, with a final temperature of 350°C leading to a pressure of 16529 KPa. Since the system is closed and no work is done, the heat added can be calculated using the change in internal energy, resulting in 1759 KJ. The ideal gas equation can be used to determine the final pressure. Understanding these relationships is crucial for analyzing thermodynamic systems.
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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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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.
 
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