a) Under constant pressure conditions, volume is directly proportional to the temperature. i.e,
V α T
V1/T1 = V2/T2 -----(1)
It is given that: V2 = 1/3 V1
Substituting for V2 in equation (1) gives:
1/T1 = 1/3T2
i.e. T2 = (1/3) T1
2) Based on the ideal gas equation:
PV = nRT
Under constant n and R
P1V1/T1 = P2V2/T2
P2 = (P1V1/T1)*T2/V2 = (4*5.5/300)*250/2 = 9.17 atm
3) As per Raoult's Law, partial pressure of a gas is equal to the product of mole fraction and the total gas pressure
Mole fraction of Ne = 0.50/0.50 + 1.20 = 0.294
Total pressure = 730 torr
Partial Pressure of Ne = 0.294*730 = 215 torr