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28 Feb 2024, 09:14
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Natural gas cost per cubic foot: 0.0070
Propane cost per cubic foot: 0.0175
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
64% (02:58) correct
36%
(03:14)
wrong
based on 393
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When fully burned, natural gas produces approximately 1,000 BTU of heat per cubic foot of fuel, and propane produces about 2,500 BTU of heat per cubic foot of fuel. For a furnace in which either natural gas or propane may be burned as fuel, the efficiency of a given fuel is the usable heat energy produced when the fuel is burned in the furnace, expressed as a percentage of the total heat energy produced when the fuel is burned.
Kaiser will purchase a furnace whose efficiency with respect to either natural gas burned alone or propane burned alone is 90%. In the table select for natural gas cost per cubic foot and for propane cost per cubic foot the values that are jointly consistent with the information given for which the fuel cost per BTU of usable heat energy produced by this furnace would be approximately the same for each fuel burned alone. Make only two selections, one in each column.
Kaiser will purchase a furnace whose efficiency with respect to either natural gas burned alone or propane burned alone is 90%. In the table select for natural gas cost per cubic foot and for propane cost per cubic foot the values that are jointly consistent with the information given for which the fuel cost per BTU of usable heat energy produced by this furnace would be approximately the same for each fuel burned alone. Make only two selections, one in each column.
| Natural gas cost per cubic foot | Propane cost per cubic foot | |
| 0.0035 | ||
| 0.0070 | ||
| 0.0110 | ||
| 0.0175 | ||
| 0.0350 |
ShowHide Answer
Official Answer
Natural gas cost per cubic foot: 0.0070
Propane cost per cubic foot: 0.0175
28 Feb 2024, 09:43
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Here's the information we have:
When fully burned,
natural gas produces approximately 1,000 BTU of heat per cubic foot of fuel
propane produces about 2,500 BTU of heat per cubic foot of fuel
So, the ratio of the amount of heat produced by a cubic foot of natural gas to the amount of heat produced by a cubic foot of propane is 1000/2500 = 1/2.5.
Then the second paragraph says the following:
Kaiser will purchase a furnace whose efficiency with respect to either natural gas burned alone or propane burned alone is 90%.
This information does not change the ratio we already have since (0.9 × 1000)/(0.9 × 2500) = 1000/2500 = 1/2.5.
In the table select for natural gas cost per cubic foot and for propane cost per cubic foot the values that are jointly consistent with the information given for which the fuel cost per BTU of usable heat energy produced by this furnace would be approximately the same for each fuel burned alone. Make only two selections, one in each column.
Since the two fuels produce heat in the ratio of 1/2.5 per unit, to make the fuel cost per unit the same, we can simply find two prices such that the ratio of prices for natural gas and propane is also in the ratio of 1/2.5.
0.0035
0.0070
0.0110
0.0175
0.0350
The only two prices that are in the ratio of 1/2.5 are 0.0070 and 0.0175.
For Natural gas cost per cubic foot, select 0.0070.
For Propane cost per cubic foot, select 0.0175.
When fully burned,
natural gas produces approximately 1,000 BTU of heat per cubic foot of fuel
propane produces about 2,500 BTU of heat per cubic foot of fuel
So, the ratio of the amount of heat produced by a cubic foot of natural gas to the amount of heat produced by a cubic foot of propane is 1000/2500 = 1/2.5.
Then the second paragraph says the following:
Kaiser will purchase a furnace whose efficiency with respect to either natural gas burned alone or propane burned alone is 90%.
This information does not change the ratio we already have since (0.9 × 1000)/(0.9 × 2500) = 1000/2500 = 1/2.5.
In the table select for natural gas cost per cubic foot and for propane cost per cubic foot the values that are jointly consistent with the information given for which the fuel cost per BTU of usable heat energy produced by this furnace would be approximately the same for each fuel burned alone. Make only two selections, one in each column.
Since the two fuels produce heat in the ratio of 1/2.5 per unit, to make the fuel cost per unit the same, we can simply find two prices such that the ratio of prices for natural gas and propane is also in the ratio of 1/2.5.
0.0035
0.0070
0.0110
0.0175
0.0350
The only two prices that are in the ratio of 1/2.5 are 0.0070 and 0.0175.
For Natural gas cost per cubic foot, select 0.0070.
For Propane cost per cubic foot, select 0.0175.
General Discussion
01 Apr 2024, 09:53
Kudos
Bookmarks
MartyMurray , Is there any smart way to quickly identify from the following options as to which one will yield the ratio 2 :5 or 1:2.5 ?
0.0035
0.0070
0.0110
0.0175
0.0350
0.0035
0.0070
0.0110
0.0175
0.0350
MartyMurray
