The hydrogen gas used to make ammonia can be made from small hydrocarbons such a

Question

The hydrogen gas used to make ammonia can be made from small hydrocarbons such as methane in the so-called steam-reforming process, run at high temperature and pressure. a. If 3.2 atm of methane at 21 degree C are introduced into a container, to what temperature must the gas be heated to increase the pressure to 12 atm? b. If 4.0 times 10^3 L of methane gas at 21 degree C is heated and allowed to expand at a constant pressure, what will the volume temperature reaches 815 degree C? c. What volume of methane gas at 21 degree C and 1.1 atm must be compressed to yield 1.5 times 10^4 L of methane gas at 12 atm and 815 degree C?

Explanation / Answer

a)

Given:

Pi = 3.2 atm

Ti = 21 oC

   = (21 +273) K

   = 294 K

Pf = 12 atm

use:

Pi/Ti = Pf/Tf

3.2 atm / 294 K = 12 atm / Tf

Tf = 1102.5 K

Tf = (1102.5 - 273 ) oC

   = 829.5 oC

Answer: 829.5 oC

b)

Vi = 4.0*10^3 L

Ti = 21 oC

   = (21 +273) K

   = 294 K

Tf = 815 oC

= (815 + 273) K

= 1088 K

use:

Vi/Ti = Vf/Tf

4.0*10^3 L / 294 K = Vf / 1088 K

Vf = 1.5*10^4 L

we know that 10^3 L = 1m^3

so,

Vf = 1.5*10^4 L

   = 15 m^3

Answer: 15 m^3

c)

Ti = 21 oC

   = (21 +273) K

   = 294 K

Pi = 1.1 atm

Vf = 1.5*10^4 L

Pf = 12 atm

Tf = 815 oC

= (815 + 273) K

= 1088 K

use:

Pi*Vi/Ti = Pf*Vf/Tf

1.1 atm * Vi / 294 K = 12 atm * 1.5*10^4 L / 1088 K

Vi = 4.4*10^3 L

Answer: 4.4*10^3 L

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