The radiator in a car is filled with a solution of 60% antifreeze and 40% water. The manufacturer of the the antifreeze suggests that, for summer diving, optimal cooling of the engine is obtained with only 50% antifreeze. If the capacity of the radiator is 3.6 liters, how much coolant
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To find out how much coolant needs to be drained from the radiator, we need to determine the current amount of antifreeze in the radiator and then calculate the difference between the current and optimal amounts.
Step 1: Calculate the current amount of antifreeze in the radiator.
Since the radiator has a capacity of 3.6 liters and the solution is 60% antifreeze, we can multiply the capacity by the antifreeze percentage to find the current amount of antifreeze.
Current amount of antifreeze = 3.6 liters x 0.6 = 2.16 liters
Step 2: Calculate the optimal amount of antifreeze in the radiator.
The manufacturer suggests that the optimal cooling is achieved with 50% antifreeze. To find the optimal amount, we multiply the capacity of the radiator by the optimal antifreeze percentage.
Optimal amount of antifreeze = 3.6 liters x 0.5 = 1.8 liters
Step 3: Calculate the difference between the current and optimal amounts.
To find out how much coolant needs to be drained, we subtract the optimal amount of antifreeze from the current amount.
Difference = Current amount of antifreeze - Optimal amount of antifreeze
Difference = 2.16 liters - 1.8 liters = 0.36 liters
Therefore, 0.36 liters of coolant needs to be drained from the radiator to achieve the optimal cooling for summer driving.