A typical modern couch is known to burn very well, using a t2 growth rate curve, how long will it take for a fire to reach 750 kilowatts if it has an effective ignition time of 2 minutes assuming an ultrafast growth rate? Provide numerical answer with units of seconds, do not include units in input, submit number only. Round answer to the nearest second.

1 answer

Using the t2 growth rate curve and assuming an ultrafast growth rate, the time it will take for a fire to reach 750 kilowatts can be calculated using the following equation:
t = 120 * ln(750/k)
Where t is the time in seconds, k is the fire load in kilowatts per square meter.

Assuming a fire load of 2 kilowatts per square meter for a typical modern couch, we have:
k = 2
Therefore, t = 120 * ln(750/2) = 1,097 seconds

Rounding to the nearest second, the answer is: 1,097 seconds.
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