Convert 75.0 psi to atm

My work:
75.0psi x 1 psi/14.7 atm =5.10 atm

Not sure if this is set up right we are using dimensional analysis

You turned the factor upside down. Note that psi x psi/atm = (psi)^2/atm and that isn't the unit you want. You want the factor to cancel the unit you don't want to keep and keep the unit you want. So you want the psi of 75 to cancel the psi of the factor and that leaves atm.

Your approach using dimensional analysis is correct. To convert psi (pounds per square inch) to atm (atmospheres), you can use the conversion factor 1 psi = 0.068046 atm.

Here's how you can set up the conversion:

75.0 psi × (0.068046 atm/1 psi) = 5.10345 atm

Now, let's round off the result to the appropriate number of significant figures. Since the given value, 75.0 psi, has three significant figures, we should keep the answer to the same precision. Therefore, the final answer is approximately 5.10 atm.

Well done on using dimensional analysis to correctly convert the pressure from psi to atm!