greenhouse gases global warming potential inventory for a landfill Given mass of methane emitted (m_CH4) = 3,282 Mg/yr; global warming potential of methane (GWP_CH4) = 28.5000; mass of CO2 emitted (m_CO2) = 139,405 Mg/yr, determine the CO2-equivalent emissions (CO2e) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except CO2e is given, so isolate CO2e symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for CO2e:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 3,282 Mg/yr, global warming potential of methane (GWP_CH4) = 28.5000, mass of CO2 emitted (m_CO2) = 139,405 Mg/yr.

4. Step 4 — Substitute the given values:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$CO2e = 232942\ \text{Mg/yr}$$

6. Step 6 — Check: returning CO2e = 232,942 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 465,884 — kept a factor of two that cancels in the correct rearrangement.
• 116,471 — dropped that same factor in the other direction.
• 256,236 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases CO2-equivalent calculation using global warming potential factors Given global warming potential of methane (GWP_CH4) = 28.3000; mass of CO2 emitted (m_CO2) = 112,591 Mg/yr; CO2-equivalent emissions (CO2e) = 291,385 Mg/yr, determine the mass of methane emitted (m_CH4) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CH4 is given, so isolate m_CH4 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CH4:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

3. Step 3 — List the givens: global warming potential of methane (GWP_CH4) = 28.3000, mass of CO2 emitted (m_CO2) = 112,591 Mg/yr, CO2-equivalent emissions (CO2e) = 291,385 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

5. Step 5 — Evaluate:

   $$m_{CH4} = 6318\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CH4 = 6,318 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 12,636 — kept a factor of two that cancels in the correct rearrangement.
• 3,159 — dropped that same factor in the other direction.
• 6,950 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

global warming potential of greenhouse gas emissions from a facility Given mass of methane emitted (m_CH4) = 4,538 Mg/yr; global warming potential of methane (GWP_CH4) = 26.1000; CO2-equivalent emissions (CO2e) = 250,982 Mg/yr, determine the mass of CO2 emitted (m_CO2) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CO2 is given, so isolate m_CO2 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CO2:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 4,538 Mg/yr, global warming potential of methane (GWP_CH4) = 26.1000, CO2-equivalent emissions (CO2e) = 250,982 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$m_{CO2} = 132540\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CO2 = 132,540 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 265,080 — kept a factor of two that cancels in the correct rearrangement.
• 66,270 — dropped that same factor in the other direction.
• 145,794 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases global warming potential inventory for a landfill Given mass of methane emitted (m_CH4) = 2,645 Mg/yr; global warming potential of methane (GWP_CH4) = 25.4000; mass of CO2 emitted (m_CO2) = 25,908 Mg/yr, determine the CO2-equivalent emissions (CO2e) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except CO2e is given, so isolate CO2e symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for CO2e:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 2,645 Mg/yr, global warming potential of methane (GWP_CH4) = 25.4000, mass of CO2 emitted (m_CO2) = 25,908 Mg/yr.

4. Step 4 — Substitute the given values:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$CO2e = 93091\ \text{Mg/yr}$$

6. Step 6 — Check: returning CO2e = 93,091 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 186,182 — kept a factor of two that cancels in the correct rearrangement.
• 46,546 — dropped that same factor in the other direction.
• 102,400 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases CO2-equivalent calculation using global warming potential factors Given global warming potential of methane (GWP_CH4) = 28.5000; mass of CO2 emitted (m_CO2) = 199,608 Mg/yr; CO2-equivalent emissions (CO2e) = 152,485 Mg/yr, determine the mass of methane emitted (m_CH4) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CH4 is given, so isolate m_CH4 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CH4:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

3. Step 3 — List the givens: global warming potential of methane (GWP_CH4) = 28.5000, mass of CO2 emitted (m_CO2) = 199,608 Mg/yr, CO2-equivalent emissions (CO2e) = 152,485 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

5. Step 5 — Evaluate:

   $$m_{CH4} = -1653\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CH4 = -1,653 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• -3,307 — kept a factor of two that cancels in the correct rearrangement.
• -826.7 — dropped that same factor in the other direction.
• -1,819 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

global warming potential of greenhouse gas emissions from a facility Given mass of methane emitted (m_CH4) = 1,025 Mg/yr; global warming potential of methane (GWP_CH4) = 27.4000; CO2-equivalent emissions (CO2e) = 257,378 Mg/yr, determine the mass of CO2 emitted (m_CO2) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CO2 is given, so isolate m_CO2 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CO2:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 1,025 Mg/yr, global warming potential of methane (GWP_CH4) = 27.4000, CO2-equivalent emissions (CO2e) = 257,378 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$m_{CO2} = 229293\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CO2 = 229,293 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 458,586 — kept a factor of two that cancels in the correct rearrangement.
• 114,647 — dropped that same factor in the other direction.
• 252,222 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases global warming potential inventory for a landfill Given mass of methane emitted (m_CH4) = 4,622 Mg/yr; global warming potential of methane (GWP_CH4) = 28.6000; mass of CO2 emitted (m_CO2) = 158,299 Mg/yr, determine the CO2-equivalent emissions (CO2e) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except CO2e is given, so isolate CO2e symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for CO2e:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 4,622 Mg/yr, global warming potential of methane (GWP_CH4) = 28.6000, mass of CO2 emitted (m_CO2) = 158,299 Mg/yr.

4. Step 4 — Substitute the given values:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$CO2e = 290488\ \text{Mg/yr}$$

6. Step 6 — Check: returning CO2e = 290,488 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 580,976 — kept a factor of two that cancels in the correct rearrangement.
• 145,244 — dropped that same factor in the other direction.
• 319,537 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases CO2-equivalent calculation using global warming potential factors Given global warming potential of methane (GWP_CH4) = 26.3000; mass of CO2 emitted (m_CO2) = 185,508 Mg/yr; CO2-equivalent emissions (CO2e) = 179,022 Mg/yr, determine the mass of methane emitted (m_CH4) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CH4 is given, so isolate m_CH4 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CH4:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

3. Step 3 — List the givens: global warming potential of methane (GWP_CH4) = 26.3000, mass of CO2 emitted (m_CO2) = 185,508 Mg/yr, CO2-equivalent emissions (CO2e) = 179,022 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CH4} = \dfrac{CO_2e-m_{CO_2}}{GWP_{CH_4}}$$

5. Step 5 — Evaluate:

   $$m_{CH4} = -246.6\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CH4 = -246.6 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• -493.2 — kept a factor of two that cancels in the correct rearrangement.
• -123.3 — dropped that same factor in the other direction.
• -271.3 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

global warming potential of greenhouse gas emissions from a facility Given mass of methane emitted (m_CH4) = 2,719 Mg/yr; global warming potential of methane (GWP_CH4) = 26.4000; CO2-equivalent emissions (CO2e) = 144,200 Mg/yr, determine the mass of CO2 emitted (m_CO2) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except m_CO2 is given, so isolate m_CO2 symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for m_CO2:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 2,719 Mg/yr, global warming potential of methane (GWP_CH4) = 26.4000, CO2-equivalent emissions (CO2e) = 144,200 Mg/yr.

4. Step 4 — Substitute the given values:

   $$m_{CO2} = CO_2e - m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$m_{CO2} = 72418\ \text{Mg/yr}$$

6. Step 6 — Check: returning m_CO2 = 72,418 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 144,837 — kept a factor of two that cancels in the correct rearrangement.
• 36,209 — dropped that same factor in the other direction.
• 79,660 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential

greenhouse gases global warming potential inventory for a landfill Given mass of methane emitted (m_CH4) = 4,424 Mg/yr; global warming potential of methane (GWP_CH4) = 29.0000; mass of CO2 emitted (m_CO2) = 105,460 Mg/yr, determine the CO2-equivalent emissions (CO2e) in Mg/yr.

Start with the thinking

• The governing relation printed in this handbook section is Greenhouse Gases: Global Warming Potential.
• Everything except CO2e is given, so isolate CO2e symbolically first — never rearrange after the numbers are in.
• Tabulate each given with its unit and confirm the units are consistent with the relation before substituting.
• Greenhouse gases are compared using global warming potential to express methane and other gas emissions as CO2-equivalent.

Step-by-step solution

1. Step 1 — State the governing relation:

   $$CO_2e = \sum m_i \times GWP_i$$

2. Step 2 — Rearrange symbolically for CO2e:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

3. Step 3 — List the givens: mass of methane emitted (m_CH4) = 4,424 Mg/yr, global warming potential of methane (GWP_CH4) = 29.0000, mass of CO2 emitted (m_CO2) = 105,460 Mg/yr.

4. Step 4 — Substitute the given values:

   $$CO2e = m_{CO_2}+m_{CH_4}\,GWP_{CH_4}$$

5. Step 5 — Evaluate:

   $$CO2e = 233756\ \text{Mg/yr}$$

6. Step 6 — Check: returning CO2e = 233,756 Mg/yr to

   $$CO_2e = \sum m_i \times GWP_i$$

   reproduces the given quantities, and both sides carry the same units.

Why the other options are there

• 467,512 — kept a factor of two that cancels in the correct rearrangement.
• 116,878 — dropped that same factor in the other direction.
• 257,132 — rounded an intermediate value before the final step.

Reference: FE Handbook — Greenhouse Gases: Global Warming Potential