Question

Ohhh noooo! Donny Dont was asked what mass in kg a substance must have if its density is 3.00 kg/L and it takes up 12.0 gallons of volume. What units would his answer of 36 be in? Hint: it is a big jumbled mess of units.

Ohhh noooo! Donny also failed to answer with the correct number of significant figures! How many sig figs SHOULD his answer contain? To correctly do this problem, we need to get the units of volume to cancel, and to do that, we need to make them consistent, perhaps by converting 12.0 gal. to Liters, and then using that number of Liters for V (Conversion factor: There are 3.78 L per gallon). Finish the problem correctly for Donny, so that kg is the unit of your answer, and so that your answer has the correct number of significant figures!

Answer 1

To solve the problem, we need to convert gallons to liters and then use the density formula to find the mass. Donny's answer of 36 kg is incorrect as it should have been rounded to three significant figures and should be 136 kg.

Step-by-step explanation:

To solve the problem correctly, we need to convert the volume of 12.0 gallons to liters, since the density is given in kg/L. There are 3.78 liters in 1 gallon, so 12.0 gallons is equal to 12.0 * 3.78 = 45.36 liters.

Next, we can use the formula density = mass/volume to find the mass. Rearranging the formula, mass = density * volume. Substituting the given values, mass = 3.00 kg/L * 45.36 L = 136.08 kg.

Therefore, Donny's answer of 36 kg would be incorrectly rounded, and the correct number of significant figures for his answer should be three, matching the least number of significant figures in the given measurements. So, the answer should have been 136 kg.