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Midterm 2, Physics 6C, Fall 2014 David Schriver Name Problem 4 A 110 liter0.110

ID: 1786867 • Letter: M

Question

Midterm 2, Physics 6C, Fall 2014 David Schriver Name Problem 4 A 110 liter0.110 m3) iron canister is filled with pure oxygen (02) gas at room temperature (293 K) at a total pressure of 23,500 kPa ( 2.35 × 107 Pa). The oxyge ideal gas and oxygen gas has a molecular mass Mo2 32.0 g/mole. n can be treated as an IS pts) 5 a) How many moles of oxygen gas are contained in the canister? [5 pts] b) What is the mass of the oxygen gas contained in the canister? [5 pts] c) How long will it take for exactly halfof the oxygen to flow out of the canister at a constant outflow rate of 0.225 mhour, measured at atmospheric pressure ( 1.013 × 105 Pa) and roomtemperature (293 K). (5 pts]d) After half the oxygen has been released, what will the pressure be inside the canister? Assume the inside temperature stays constant during the release. 20°C from room temperature (293 K) to 41.4220 K. What is the change in volume of the canister after it is heated? The [5 pts] e) The iron canister is put in an oven and heated coefficient of volume expansion for iron is -35.0 × 10-6 IK.

Explanation / Answer

a)

V = volume = 0.11 m3

T = 293 K

P = 2.35 x 107 Pa

n = number of moles

using the equation

PV = n RT

( 2.35 x 107) (0.11) = n (8.314) (293)

n = 1061.2

b)

mass = n M = 1061.2 x 32 = 33958.4 g