Final answer:
The brake power is 26 kW, the frictional power is -14 kW, the mechanical efficiency at full load is 65%, the indicated thermal efficiency is 65%, and the clearance volume is 0.125 liters.
Step-by-step explanation:
(i) To calculate the brake power, we can use the formula:
Brake Power = Indicated Power * Mechanical Efficiency
Given that the indicated power is 40 kW and the mechanical efficiency at full load is 65%, we can calculate the brake power:
Brake Power = 40 kW * 0.65 = 26 kW
(ii) To calculate the frictional power, we can use the formula:
Frictional Power = Brake Power - Indicated Power
Using the brake power calculated in the previous step, we can calculate the frictional power:
Frictional Power = 26 kW - 40 kW = -14 kW
(iii) The mechanical efficiency at full load is given as 65%.
(iv) The indicated thermal efficiency can be calculated using the formula:
Indicated Thermal Efficiency = Brake Power / Indicated Power
Using the brake power and indicated power, we can calculate the indicated thermal efficiency:
Indicated Thermal Efficiency = 26 kW / 40 kW = 0.65 (or 65%)
Given that the volume decreases by eight-fold during the compression stroke, we can calculate the clearance volume:
Clearance Volume = 1 liter / 8 = 0.125 liters