I was wondering if someone can tell me if I did this right:
The gas constant (R) has many different unit formulations. Convert the value of 8.314 (m3-Pa)/(K-mol) into units of (L-mmHg)/(K-mol).
This is what I did:
(8.314 m3-Pa/K-mol)*(1 atm/101325 Pa)*(760 mm Hg/1 atm)*(1L/1000)
and the answer would be 6.2E-5,right?
http://en.wikipedia.org/wiki/Gas_constant
I think 1 m^3 = 1000 L
To determine if you performed the conversion correctly, we can follow your calculations step by step.
You started with the value 8.314 (m3-Pa)/(K-mol). Let's break down the conversion:
1. First, you multiplied by (1 atm / 101325 Pa). This is the conversion factor from pascals to atmospheres. Since 1 atmosphere is equal to 101325 pascals, this conversion factor is correct.
2. Next, you multiplied by (760 mm Hg / 1 atm). This is the conversion factor from atmospheres to millimeters of mercury (mmHg). Since 1 atmosphere is equal to 760 mmHg, this conversion factor is also correct.
3. Finally, you multiplied by (1 L / 1000). This is the conversion factor from cubic meters to liters. Since 1 liter is equal to 0.001 cubic meters (or equivalently, 1 cubic meter is equal to 1000 liters), this conversion factor is correct as well.
By performing these calculations, we can simplify the expression:
8.314 (m3-Pa)/(K-mol) * (1 atm / 101325 Pa) * (760 mm Hg / 1 atm) * (1 L / 1000)
= (8.314 * 1 * 760 * 1) (m3-Pa*K-mol / (101325 * 1 * 1 * 1000)) (mmHg / L)
= 6.209 * 10^-2 (mmHg L) / (K mol)
Therefore, your final answer should be approximately 6.209 * 10^-2 (mmHg L) / (K mol), not 6.2 * 10^-5 as you stated.