Question

A rectangular gasoline tank can hold 50.0 kg of gasoline when full. What is the depth of the tank if it is 0.500-m wide by 0.900-m long? Discuss whether this gas tank has a reasonable volume for a passenger car.

a) 0.056 m; Yes
b) 0.111 m; Yes
c) 0.167 m; No
d) 0.222 m; No

Answer 1

The depth of the gas tank is 0.149 meters, and it is reasonable for a passenger car.

Step-by-step explanation:

To find the depth of the tank, we need to use the formula:

Volume = length x width x depth

Given that the tank can hold 50.0 kg of gasoline, which has a density of 750 kg/m³, we can calculate the volume using the formula:

Volume = mass / density

Substituting the values:

Volume = 50.0 kg / 750 kg/m³ = 0.067 m³

Now, we can rearrange the volume formula to solve for depth:

Depth = Volume / (width x length)

Substituting the given values:

Depth = 0.067 m³ / (0.500 m x 0.900 m) = 0.149 m

Therefore, the depth of the tank is approximately 0.149 meters.

As for whether the gas tank has a reasonable volume for a passenger car, it depends on the specific car. Different cars have different fuel tank capacities, and their volumes can vary widely. However, a depth of 0.149 meters seems reasonable for a typical passenger car gas tank.