The lower explosive limit of a gas is the lowest concentration of a gas that is capable of producing a

flash fire in the presence of an ignition source. This is also known as the lower flammable limit $($LFL$).$

For methane gas the LFL is $0\mathrm{.}044$ in mol fraction. You are told that $1\mathrm{.}7l{b}_m$ of methane has escaped

from a gas stove in a room that is $8ft$ high, $10ft$ wide and $15ft$ long. Assume that the room is at

atmospheric pressure $(14\mathrm{.}7).$ Assuming ideal gas conditions, calculate the temperature required in

Celsius and Fahrenheit to reach the LFL in the room