Answer :
To solve this problem, we first need to address both parts of the question separately.
1. Conversion of 1 revolution to radians, degrees, and grads:
Radians: One full revolution is equal to [tex]2\pi[/tex] radians. This is because a complete circle corresponds to an angle of [tex]360[/tex] degrees, and the arc length of a circle in terms of its radius gives us the radian measure.
Degrees: One revolution covers [tex]360[/tex] degrees, as this is the conventional measure for a complete circle.
Grads: In the gradians system (also called grads), [tex]1[/tex] revolution is [tex]400[/tex] grads. This system divides a circle into [tex]400[/tex] parts.
Considering all this, the correct option for the conversion of 1 revolution is b. [tex]2\pi, 360, 400[/tex].
2. Finding the mass flow rate of flue gas:
To calculate the mass flow rate of flue gas, we need to account for the amount of air required for combustion and the amount of coal used, as well as the ash loss.
Coal consumption: [tex]3000[/tex] kg/hour
Air required: [tex]15.5[/tex] kg of air per kg of coal
Ash loss: [tex]11\%[/tex]
Calculation steps:
Calculate total air used per hour:
Total air used = [tex]3000 \text{ kg coal/hour} \times 15.5 \text{ kg air/kg coal} = 46500 \text{ kg air/hour}[/tex]
Calculate the total mass of flue gas produced per hour, considering ash loss:
Mass of coal burned = [tex]3000 \times (1 - 0.11) = 2670 \text{ kg/hour}[/tex] (since [tex]11\%[/tex] forms ash)
Total mass of flue gas = Mass of burned coal + Total air used
Total mass of flue gas = [tex]2670 + 46500 = 49170 \text{ kg/hour}[/tex]
Convert the mass flow rate to kilograms per second (kg/s):
Mass flow rate of flue gas = [tex]\frac{49170}{3600} \approx 13.66 \text{ kg/s}[/tex]
Given the options, there seems to be a discrepancy, but following the process with typical physical assumptions, the closest mass flow rate should be scrutinized among provided options.
As mass flow solution is based on approximations commonly used while dealing with engineering contexts, it's essential to regard particular contextual data when selecting: typically, if input values (like molecular weight) alter, the closest comparable benchmark is used with ideal gas laws and other factors included which are often specified.
Thus, comparison indicates option a. 49170–the completion of hourly to per-second conversion needed external specifics for options provided.
