Answer:
1 L
Explanation:
The ideal gas law is PV = nRT. However, pressure has to be atm, volume has to be in L, and temperature has to be in K. So let's convert. (R is the gas constant 0.0821)
P = 392.00 mmHg
760 mmHg = 1 atm
392.00 mmHg x [tex]\frac{1 atm}{760 mmHg}[/tex] = 0.516 atm
V = 690.0 mL
1 L = 1000 mL
690.0 mL × [tex]\frac{1 L}{1000 mL}[/tex] = 0.69 L
T = -15.1° C
K = °C + 273
K = -15.1° C + 273 = 258 K
Now, plug in the numbers into the ideal gas law equation to find the number of moles.
PV = nRT
(0.516)(0.69) = n(0.0821)(258)
0.35604 = 21.1818n
n = 0.0168 moles
Now, the formula for the volume of a gas is V = nRT/P. Plug in the information to solve for the volume of the gas.
T = 233.0° C
K = 233.0° C + 273 = 506 K
V = nRT ÷ P
V = (0.0168)(0.0821)(506) ÷ 0.700
V = 0.69791568 ÷ 0.700
V = 0.9970224 = 1 L
The volume of the gas is 1 L or 1000 mL.
Hope this helps. :)
