1) What volume will 300 mL of gas at 20 C and a pressure of 335 mmHg occupy if t
ID: 902910 • Letter: 1
Question
1) What volume will 300 mL of gas at 20 C and a pressure of 335 mmHg occupy if the temperature is reduced to -80 C and the pressure increased to 760 mmHg?
2) A sample of gas of mass 2.82 g occupies of volume of 639 mL at 27 C and 100 atm pressure. What is the molar mass of the gas?
3) A gas is placed in a storage tank at a pressure of 20.0 atm at 20.3 C. As a safety device, there is a small metal plug in the tank made of a metal alloy that melts at 125 C. If the tank is heated, what is the maximum pressure that will be attained in the tank before the plug will melt and release gas?
Explanation / Answer
1)
V = 300 ml or 0.3 L
T = 20 C or 293K
P = 335 mm Hg or 335/760 = 0.44 atm
V2 = ?
T2 = -80 or 193K
P2 = 760 mmHg or 1 atm
P1V1/T1 = P2V2/T2
V2 = (P1/P2)(T1/T2)*V1
V2 = (335/760)(293/193)*300 = 200.7 ml
V = 200.7 ml
2)
m = 2.82 g of gas
V = 639 ml T = 27 C or 300 K and P = 100 atm
find MW
PV = nRT
n = PV/(RT) = 100atm*0.639L / (0.082 LATM/molK)/300K = 2.597 mol
MW = mass/mol = 2.82/2.597 = 1.08 g/mol
3)
P = 20 atm
T = 20.3 = 293.3 K
T = 125C = 398 K
Pmax = ?
P1/T1 = P2/T2
P2 = P1*(T2/T1) = 20atm*(398/293.3 ) =27.14atm
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