Question

# 1.A cylinder, with a piston pressing down with a constant pressure, is filled with 1.90 moles...

1.A cylinder, with a piston pressing down with a constant pressure, is filled with 1.90 moles of a gas (n1 ), and its volume is 50.0 L (V1 ). If 0.400 mole of gas leak out, and the pressure and temperature remain the same, what is the final volume of the gas inside the cylinder?

A sample of gas in a cylinder as in the example in Part A has an initial volume of 52.0 L , and you have determined that it contains 1.30 moles of gas. The next day you notice that some of the gas has leaked out. The pressure and temperature remain the same, but the volume has changed to 13.0 L . How many moles of gas (n2 ) remain in the cylinder? Expert Answer

A 20.0 L gas cylinder is filled with 8.60 moles of gas. The tank is stored at 37 ∘C . What is the pressure in the tank?

1)

Given:

Vi = 50.0 L

ni = 1.90 mol

nf = ni - mol of gas leaked = 1.90 mol - 0.40 mol = 1.50 mol

use:

Vi/ni = Vf/nf

50.0 L / 1.90 mol = Vf / 1.50 mol

Vf = 39.5 L

2)

Given:

ni = 1.30 mol

Vi = 52.0 L

Vf = 13.0 L

use:

Vi/ni = Vf/nf

52.0 L / 1.30 mol = 13.0 L / nf

nf = 0.325 mol

3)

Given:

V = 20.0 L

n = 8.60 mol

T = 37 oC

= (37+273) K

= 310 K

use:

P * V = n*R*T

P * 20 L = 8.6 mol* 0.0821 atm.L/mol.K * 310 K

P = 10.9 atm

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