A particular gas has a desnity of 11.98 g/dm^3 when the pressure is 138.4 kPa at a temp of 175 degrees F. What is the GMW of this gas? If it is a diatomic gas can you identify the element?

dm^3 = L. so it's 11.98 g/L.
then i converted 139.4 kPa to 1.37 atm.
then i converted 175 to 370 K.

in order to get the molar mass i multiplied the density (11.98 g/L)(0.08206 L * atm/ K* mol)(370K) and divided it by 1.37 atm. I came up with 265.50 g/mole. What am I supposed to do next?

I would have rounded the atm to 1.38 but that isn't a big deal. The temperature has not been converted correctly. 175 F converts closer to 350 K but check me out on that (and 350 is not the exact T). After making the correction, recalculate molar mass. Since the gas is diatomic, divide by two and look up the molar mass of the atom on the periodic table. Let us know if you have any trouble.

thank you for your help, it's idodide!

Rethink or reread the periodic table. I am being a little picky here, but the element, which is the question, is IODINE, not iodide. Iodide is the ion formed when an iodine atom gains one electron. Iodine and iodide are two different things. But your math is ok for you to get that number of about 127. Good work.

i apologize that was a typo! thanks for all your help!

To find the gas molar mass, you performed the correct steps so far. The next step is to compare the molar mass you calculated (265.50 g/mol) with known molar masses of elements to identify the element.

To do this, you can refer to the periodic table. Look for elements with molar masses close to the value you obtained (265.50 g/mol). Remember that since you obtained the molar mass for 1 mole of gas, you are looking for an element with a similar molar mass.

After identifying the element, you can check if it is a diatomic gas by referring to its molecular formula. Diatomic gases consist of two atoms of the same element bonded together in their natural state. The molecular formula is usually mentioned in the periodic table for diatomic elements.

Based on your calculation for molar mass, if you found an element with a molar mass similar to 265.50 g/mol and it also has a diatomic molecular formula, then you have identified the element as a diatomic gas.

Note: It is important to note that the calculated molar mass (265.50 g/mol) may not have a perfect match in the periodic table due to rounding errors, so it is recommended to consider elements with molar masses close to the calculated value.