Decomposition can be modeled using the following equation: $m _ { t } = m _ { 0 } \mathrm { e } ^ { - k t }$ where m_t is the mass of leaf litter that remains at a particular time, m₀ is the initial mass of leaf litter, k is the daily decomposition rate, and t is time in days.
Using a decomposition rate (k) of 0.15, how long would it take for 100 g of leaf material to degrade 75 percent?

Question

Decomposition can be modeled using the following equation:

m _ { t } = m _ { 0 } \mathrm { e } ^ { - k t }

where m_t is the mass of leaf litter that remains at a particular time, m₀ is the initial mass of leaf litter, k is the daily decomposition rate, and t is time in days.
Using a decomposition rate (k) of 0.15, how long would it take for 100 g of leaf material to degrade 75 percent?

Quizplus · Accepted Answer

The Answer of Decomposition can be modeled using the following equation: $$m _ { t } = m _ { 0 } \mathrm { e } ^ { - k t }$$ where m_t is the mass of leaf litter that remains at a particular time, m₀ is the initial mass of leaf litter, k is the daily decomposition rate, and t is time in days. Using a decomposition rate (k) of 0.15, how long would it take for 100 g of leaf material to degrade 75 percent?

Decomposition Can Be Modeled Using the Following Equation mt=m0e−ktm _ { t } = m _ { 0 } \mathrm { e } ^ { - k t }mt​=m0​e−kt

Decomposition Can Be Modeled Using the Following Equation $m _ { t } = m _ { 0 } \mathrm { e } ^ { - k t }$