Answer: V = 14.4 mL
Explanation:
In this case, we'll use the ideal gas formula:
PV = nRT
Where:
P: pressure in atm
V: volume in liter
n: moles
R: gas constant (In this case 0.082 L atm/mol K)
T: temperature in K
We have data for the gas at first, so we can actually calculate the moles used, which will be constant even at different temperature and pressure. Let's calculate the moles:
n = PV/RT
Before we do this, let's convert the volume and temperature:
T = 29 + 273 = 302 K
V = 17.5 / 1000 = 0.0175 L
Now the moles:
n = 0.863 * 0.0175 / 0.082 * 302 = 0.00061 moles
with these moles, let's convert the temperature to K:
T2 = 13 + 273 = 286 K
and to calculate the volume:
V = nRT/P
so:
V = 0.00061 * 0.082 * 286 / 0.994
V = 0.0144 L or simply 14.4 mL
