An oxygen tank has a volume of V = 3.00 m3. The gage pressure of oxygen in the tank is Pgage = 400.00 kPa. The room temperature is T = 27.00 ˚C and the atmospheric pressure is Patm = 100.00 kpa. The gas constant of oxygen is R = 0.25980 kPa/(kg·K). Oxygen can be treated as an ideal gas. Determine (1) the specific volume of oxygen, v =_____ m3

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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  1. An oxygen tank has a volume of V = 3.00 m3. The gage pressure of oxygen in the tank is Pgage = 400.00 kPa. The room temperature is T = 27.00 ˚C and the atmospheric pressure is Patm = 100.00 kpa. The gas constant of oxygen is R = 0.25980 kPa/(kg·K). Oxygen can be treated as an ideal gas.

    Determine (1) the specific volume of oxygen, v =_____ m3

     

**Problem Statement: Oxygen Tank Calculation**

An oxygen tank has a volume of \( V = 3.00 \, \text{m}^3 \). The gage pressure of oxygen in the tank is \( P_{\text{gage}} = 400.00 \, \text{kPa} \). The room temperature is \( T = 27.00 \, ^\circ \text{C} \) and the atmospheric pressure is \( P_{\text{atm}} = 100.00 \, \text{kPa} \). The gas constant of oxygen is \( R = 0.25980 \, \text{kPa/(kg·K)} \). Oxygen can be treated as an ideal gas.

Determine (1) the specific volume of oxygen, \( v = \, \) _____ \( \text{m}^3/\text{kg} \).

**Note:**

- The specific volume is calculated using the ideal gas equation: \( Pv = RT \). 

- This problem may require conversion of the room temperature from Celsius to Kelvin by using the formula: \( T(K) = T(^\circ C) + 273.15 \). 

- Total pressure in the tank considering atmospheric pressure: \( P_{\text{total}} = P_{\text{gage}} + P_{\text{atm}} \).

Please use these details to solve for the specific volume.
Transcribed Image Text:**Problem Statement: Oxygen Tank Calculation** An oxygen tank has a volume of \( V = 3.00 \, \text{m}^3 \). The gage pressure of oxygen in the tank is \( P_{\text{gage}} = 400.00 \, \text{kPa} \). The room temperature is \( T = 27.00 \, ^\circ \text{C} \) and the atmospheric pressure is \( P_{\text{atm}} = 100.00 \, \text{kPa} \). The gas constant of oxygen is \( R = 0.25980 \, \text{kPa/(kg·K)} \). Oxygen can be treated as an ideal gas. Determine (1) the specific volume of oxygen, \( v = \, \) _____ \( \text{m}^3/\text{kg} \). **Note:** - The specific volume is calculated using the ideal gas equation: \( Pv = RT \). - This problem may require conversion of the room temperature from Celsius to Kelvin by using the formula: \( T(K) = T(^\circ C) + 273.15 \). - Total pressure in the tank considering atmospheric pressure: \( P_{\text{total}} = P_{\text{gage}} + P_{\text{atm}} \). Please use these details to solve for the specific volume.
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