Equal amounts of two types of waste are disposed into a section of a landfill. They both start producing gas at t=0. Assume first-order decay for gas production. Each type of waste can produce 150 L CH4/kg of waste. Waste type A produces gas with a half-life of 8 years, and waste type B produces gas with a half-life of 4 years. How long (to the nearest year) until 90% of the total gas has been produced?

Equal amounts of two types of waste are disposed into a section of a landfill. They both start producing gas at t=0. Assume first-order decay for gas production. Each type of waste can produce 150 L CH4/kg of waste. Waste type A produces gas with a half-life of 8 years, and waste type B produces gas with a half-life of 4 years. How long (to the nearest year) until 90% of the total gas has been produced?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Mechanical Processes

In civil engineering, the materials have to undergo a series of manufacturing processes before using them in construction and structural applications. These manufacturing processes form the foundation stone of mechanical processes. Some of the civil engineering materials such as bars, metallic beams, metallic columns, surveying equipment, earthmovers, overhead cranes, structural and construction components, and even cement that is the most fundamental construction component need to undergo different manufacturing processes before they are ready to use. These processes are mechanical.

Question

Equal amounts of two types of waste are disposed into a section of a landfill. They both start
producing gas at t=0. Assume first-order decay for gas production. Each type of waste can
produce 150 L CH4/kg of waste. Waste type A produces gas with a half-life of 8 years, and
waste type B produces gas with a half-life of 4 years. How long (to the nearest year) until 90%
of the total gas has been produced?
a.
0.8 years
b. 6.4 years
c. 7 years
d. 27.6 years
e. 20.4 years
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