a) Given: P = 11.9 atm V = 18.5 L T = 340.0 K find number of moles using: P * V

Question

a)
Given:
P = 11.9 atm
V = 18.5 L
T = 340.0 K

find number of moles using:
P * V = n*R*T
11.9 atm * 18.5 L = n * 0.08206 atm.L/mol.K * 340 K
n = 7.89 mol
Answer: 7.89 mol

b)
Given:
Vi = 13.8 L
Ti = 5.0 oC
= (5.0+273) K
= 278 K
Tf = 86.0 oC
= (86.0+273) K
= 359 K

use:
Vi/Ti = Vf/Tf
13.8 L / 278.0 K = Vf / 359.0 K
Vf = 17.8 L
Answer: 17.8 L

C)
Given:
Pi = 568.0 torr
= (568.0/760) atm
= 0.7474 atm
ni = 0.35 mol
Ti = 286.0 K

use:
Pi * Vi = ni*R*Ti
0.7474 atm * Vi = 0.35 mol* 0.08206 atm.L/mol.K * 286 K
Vi = 10.99 L

Given:
Pf = 897.0 torr
= (897.0/760) atm
= 1.1803 atm
nf = 0.35 mol
Tf = 329.0 K

use:
Pf * Vf = nf*R*Tf
1.1803 atm * Vf = 0.35 mol* 0.08206 atm.L/mol.K * 329 K
Vf = 8.01 L

Vf-Vi = 8.01 L - 10.99 L
= -2.98 L
Answer: -2.98 L

Explanation / Answer

Done 1) Provide solutions for the following problems a) A sample of hydrogen gas has a volume of 18.5 L at a temperature of 340 K and a pressure of 11.90 atm. Calculate the moles of hydrogen gas present in the tank. b) A sample of methane gas that has a volume of 13.8 L at 5 °C is heated to 86 °C at constant pressure. Determine the final volume of the piston. c) A sample contains 0.35 mol Ar and is at a temperature of 286 K and a pressure of 568 torr is heated to 329 K with a pressure of 897 torr. Determine the volume change (Vr Vi) for the gas.

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