Columbia Southern University Fire Dynamics & Atmospheric Pressure Homework

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Mathematics

Description

  1. Calculate the mass loss rate for the fuel of a pool fire that has gone from having a mass of 75 grams at = to having a mass of 15 grams at t = 70 s.
  2. Calculate the mass loss rate for the fuel of a pool fire that has gone from having a mass of 60 grams at = to having a mass of 20 grams at t = 45 s.
  3. Calculate the mass loss rate for the fuel of a pool fire that has gone from having a mass of 45 grams at = to having a mass of 5 grams at t = 85 s.
  1. The room has a gas pressure of 50 ft³ and is changed from the initial pressure of 14.7psi (1 atm) to 400psi. What would be the maximum pressure raised in the room? There is a book example located on page 54, and conversions are needed.
  2. A compartment measures 10 feet by 10 feet by 2 feet with no openings. If the temperature in that room was to rise 450°F, and the initial pressure is 14.7psi (1 atm), what would the maximum pressure raised in the compartment be? What are the concerns with this increased pressure? There is a book example located on page 54, and conversions are needed.
  3. When a gas at atmospheric pressure occupies a volume of 300 mL at 10°C, what volume does it occupy at 200°C and the same pressure?
  4. At atmospheric pressure, a gas occupies a volume of 450 L at 0°C. What volume does it occupy at 100°C and the same pressure?
  1. After periodic usage, the vehicle tire gauge pressure reads 45psig when the temperature is 72°F. What is the gauge pressure reading when the temperature of the tire contents becomes 125°F during a fire? There is a book example located on page 56, and conversions are needed.
  2. The delivery driver delivers a gas cylinder and chains it to a wall within the shop. After periodic usage, the gauge pressure reads 215 psig when the temperature is 55°F. What is the gauge pressure reading when the temperature of the cylinder contents becomes 400°F during a fire? The initial pressure is 14.7psi (1 atm). There is a book example located on page 56, and conversions are needed.
  3. A volume gas at atmospheric pressure occupies a volume of 150 mL at 5°C. What volume does it occupy at 150°C and the same pressure?
  4. An unknown gas at atmospheric pressure occupies a volume of 600 mL at 15°C. What volume does it occupy at 300°C and the same pressure?

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Explanation & Answer

here is final solution sheet

Q1. Calculate the mass loss rate for the fuel of a pool fire that has gone from having a
mass of 75 grams at = to having a mass of 15 grams at t = 70 s
Solution
Mass loss rate = −

dm
75 − 15
60
6
=−
=−
=−
dt
70 − 0
70
7

Q2. Calculate the mass loss rate for the fuel of a pool fire that has gone from having a
mass of 60 grams at = to having a mass of 20 grams at t = 45 s.
Solution
Mass loss rate = −

dm
60 − 20
40
8
=−
=−
=−
dt
45 − 0
45
9

Q3.Calculate the mass loss rate for the fuel of a pool fire that has gone from having a
mass of 45 grams at = to having a mass of 5 grams at t = 85 s.
Solution
dm
45 − 5
40
8
=−
=−
=−
dt
85 − 0
85
17
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