Chapter 5, Problem 5.39P

Interpretation Introduction

(a)

Interpretation:

The following equation should be proved correct.

$D\left(N/m^2\right)=\left(\frac{P_{a}Lg}{R}\right)\left(\frac{M_a}{T_a}-\frac{M_s}{T_s}\right)$

Concept introduction:

The Ideal Gas Law is defined as,

$PV=nRT$

Where, the volume (V) occupied by ‘n’ moles of any gas has a pressure (P) at temperature (T) in Kelvin and ‘R’ = Gas constant

Also, the theoretical draft (D) of a furnace can be calculate using the following equation,

$D\left(N/m^2\right)=\left(\frac{P_{a}Lg}{R}\right)\left(\frac{M_a}{T_a}-\frac{M_s}{T_s}\right)$

Where, $T_s$ = Average temperature in the stack, $L$ = Height of the stack, $M_s$ and $M_a$ are the average molecular weights of the gases inside and outside the stack, $P_a$ = atmospheric pressure

Interpretation Introduction

(b)

Interpretation:

The theoretical draft for the given case should be calculated.

Concept introduction:

The theoretical draft (D) of a furnace can be calculate using the following equation,

$D\left(N/m^2\right)=\left(\frac{P_{a}Lg}{R}\right)\left(\frac{M_a}{T_a}-\frac{M_s}{T_s}\right)$

Where, $T_s$ = Average temperature in the stack, $L$ = Height of the stack, $M_s$ and $M_a$ are the average molecular weights of the gases inside and outside the stack, $P_a$ = atmospheric pressure