### Problem Statement:The tank below is filled with air at 25°C under absolute pressure of 60 kPa. The mass of air in the tank is nearest to:(a) 1.76×10⁶ kg (b) 1.43 kN (c) 4.96 kg (d) 112 kg (e) 19.8 kg### Diagram Description:There is a cylindrical tank depicted in the diagram. The cylinder has hemispherical ends. The dimensions of the tank are provided as follows:- The total length of the cylinder (including the hemispherical ends) is 4 meters.- The diameter of the cylindrical portion (same as the diameter of the hemispherical ends) is 1.5 meters.### Explanation for Calculation:To determine the mass of the air in the tank, one would typically use the Ideal Gas Law, which is stated as: \[ PV = mRT \]where:- \( P \) is the absolute pressure in the tank (60 kPa)- \( V \) is the volume of the tank- \( m \) is the mass of the air- \( R \) is the specific gas constant for air- \( T \) is the absolute temperature in the tank (which should be converted to Kelvin)The volume \( V \) of the tank is calculated by the sum of the volume of the cylindrical part and the volume of the two hemispherical ends.For the cylindrical part:\[ V_{cylinder} = \pi r^2 h \]For the hemispherical ends (combined to form a sphere):\[ V_{sphere} = \frac{4}{3} \pi r^3 \]Summing these volumes will provide the total volume of the tank. Substitute this into the Ideal Gas Law to solve for \( m \), the mass of air.

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Description: ### Problem Statement:The tank below is filled with air at 25°C under absolute pressure of 60 kPa. The mass of air in the tank is nearest to:(a) 1.76×10⁶ kg (b) 1.43 kN (c) 4.96 kg (d) 112 kg (e) 19.8 kg### Diagram Description:There is a cylindr

Given: Temperature, T = 250 C = 298.15 K Pressure, P = 60 kPa = 60000 Pa Volume of tank = πr2h =…

Answered: The tank below is filled with air at…

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Mechanical Engineering

The tank below is filled with air at 25°C under absolute pressure of 60 kPa. The mass of air in the tank is nearest (a) 1.76x106 kg 4 m (b) 1.43 kN (c) 4.96 kg (d) 112 kg (e) 19.8 kg 1.5 m OT CO"

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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