Homework SourseIf 1400 mol of helium gas is at 100o C and agauge pressure o
If 14.00 mol of helium gas is at 10.0o C and agauge pressure of 0.350 atm, calculate
(a) the volume of the helium gas under these conditions
(b) the temperature if the gas is compressed to precisely halfthe volume at a gauge pressure of 1.00 atm
If 14.00 mol of helium gas is at 10.0o C and agauge pressure of 0.350 atm, calculate
(a) the volume of the helium gas under these conditions
(b) the temperature if the gas is compressed to precisely halfthe volume at a gauge pressure of 1.00 atm
Solution
No.of moles n = 4 mole
temperature T = 10 o C= 10 + 273 = 283 K
gauge pressure P\' = 0.350 atm
So, pressure P = P \' + atmosheric pressure
= 0.35 atm + 1 atm = 1.35 atm
= 1 . 35 * 101.3 * 10 ^ 3 Pa
( a). Volume of the helium gas V = nRT / P
where R = gas constant = 8.314 J / mol K
substitue values we get V = 0.2408 m ^ 3
(b). pressure P \" = P + 1 atm
= 1 atm + 1 atm = 2 atm
= 2 * 101.3 * 10 ^ 3 Pa
volume V \" = V / 2
= 0.1204 m ^ 3
So, temperature T \" = P\"V\" / nR
=209.62 K
