Dimensional Analysis Answers

An engineer wants to estimate the mass of gas that is present in a tank. She knows that 1.00 mol of the gas occupies a volume of 24.5 L at the set temperature and pressure. If the volume of the tank is 170.0 L and the molecular weight of the gas is 32.00 g/mol, what is the mass of gas in the tank?

There are 12 inches (in.) in 1 foot (ft). Which expression can be used to find the number of inches in 2.5 feet?

The speedometer in Kevin’s car reads in both miles/hour and kilometers/hour. What information is needed to convert between these two units?

The density (mass/volume) of aluminum is 2.70 103 kilograms per cubic meter (kg/m3). What is the mass of an aluminum cylinder that has a volume of 1.50 m3?

The volume of a pond being studied for the effects of acid rain is 35 kiloliters (kL). There are 1,000 liters (L) in 1 kL and 1 106 microliters (mL) in 1 L. What is the volume of this pond in microliters?

Jeffe is explaining dimensional analysis to a friend. He says that dimensional analysis can be used to convert between units. What is needed for this conversion?

David’s mom wants to calculate how much it will cost to drive from Los Angeles, CA, to San Francisco, CA. Gas costs $4.00 a gallon, and the gas mileage of their car is 38 miles/gallon. What additional information does David’s mom need to do this calculation?

The length of a copper wire is 1.6 centimeters (cm). What is the length of this wire in meters (m)?

Sarah wants to find out how much time it would take to drive from her home to New York. At an average, she would drive at 55 miles per hour. If the distance to be covered is 1150 km and a mile equals 1.61 km, how much time will the trip take (to the nearest hour)?

Myriah wants to use dimensional analysis to find out how many centimeters (cm) are in 1.4 meters (m). Which of these equalities will be useful for this calculation?