The 150-mm-thick wall of a gas-fired furnace is constructed of fireclay brick (k = 1.5 w/m k, = 2600 kg/m3, cp = 1000 j/kg k) and is well insulated at its outer surface. the wall is at a uniform initial temperature of 20°c, when the burners are fired and the inner surface is exposed to products of combustion for which t[infinity] = 950°c and h = 100 w/m2 k. (a) how long does it take for the outer surface of the wall to reach a temperature of 750°c? (b) plot the temperature distribution in the wall at the foregoing time, as well as at several intermediate times.

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Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge