The image presents three thermodynamics problems. Problem 1 asks for the absolute pressure given a gauge pressure of 5 bar and atmospheric pressure of 1 bar. Problem 2 asks for the heat required to heat 1 kg of water with a specific heat of 4.2 kJ/kg*K by 10 °C. Problem 3 asks about the properties of an adiabatic thermodynamic system.

Applied MathematicsThermodynamicsPressureHeat TransferSpecific HeatAdiabatic Process
2025/5/12

1. Problem Description

The image presents three thermodynamics problems.
Problem 1 asks for the absolute pressure given a gauge pressure of 5 bar and atmospheric pressure of 1 bar.
Problem 2 asks for the heat required to heat 1 kg of water with a specific heat of 4.2 kJ/kg*K by 10 °C.
Problem 3 asks about the properties of an adiabatic thermodynamic system.

2. Solution Steps

Problem 1:
The absolute pressure is the sum of the gauge pressure and the atmospheric pressure.
Pabsolute=Pgauge+PatmosphericP_{absolute} = P_{gauge} + P_{atmospheric}
Pabsolute=5 bar+1 bar=6 barP_{absolute} = 5 \text{ bar} + 1 \text{ bar} = 6 \text{ bar}
Problem 2:
The heat required QQ is given by the formula:
Q=mcΔTQ = m \cdot c \cdot \Delta T, where mm is the mass, cc is the specific heat, and ΔT\Delta T is the change in temperature.
Q=1 kg4.2kJkgK10 °C=42 kJQ = 1 \text{ kg} \cdot 4.2 \frac{\text{kJ}}{\text{kg} \cdot \text{K}} \cdot 10 \text{ °C} = 42 \text{ kJ}
Problem 3:
An adiabatic system is one in which there is no heat exchange with the surroundings. However, mass can be exchanged in some cases.
Therefore, the system cannot either absorb or emit heat.

3. Final Answer

Problem 1: A) 6 bar
Problem 2: Г) 42 kJ
Problem 3: Δ) Δεν μπορεί ούτε να αποδώσει ούτε να απορροφήσει θερμότητα από το περιβάλλον

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