Consider an ideal gas enclosed in a 1.00 l container at an internal pressure of 10.0 atm.?
consider an ideal gas enclosed in a 1.00 l container at an internal pressure of 10.0 atm.

calculate the work, w, if the gas expands against a constant external pressure of 1.00 atm exerted by the surroundings to a final volume of 15.0 l.

now calculate the work done if this process is carried out in two steps: step 1: first let the gas expand against a constant external pressure of 5.00 atm to a volume of 3.00 l. step 2: now let the gas expand to 15.0 l against a constant external pressure of 1.00

Explanation:

When a gas expands it produce energy as work. The equation that explain this phenomenon is:

Work (w) = - External pressure × ΔV

In the first question. We have an external pressure of 1,00 atm and the ΔV is:

1,00 L - 15,0 L = 14 L

Thus, in this case work is:

w = - 1,00 atm × 14,0 L = -14,0 atm·L

The problem does not especify the units to solve this problem, for international system of units (SI) Joules is the correct unit for energy, so:

-14,0 atm·L ×(101,325 J / 1 atm·L) = -1,42x10³ J

In the second problem occurs the same principle but occurs in two steps. The work done in the first step is:

w = - 5,00 atm × (3,00 L - 1,00 L) = -10 atm·L ×(101,325 J / 1 atm·L) =

-1,01x10³ J

In second step:, the work is:

w = - 1,00 atm × (15,0 L - 3,00 L) = -12 atm·L ×(101,325 J / 1 atm·L) =

-1,22x10³ J

Thus, the work done in the process is:

w = -1,01x10³ J - 1,22x10³ J = -2,23 x10³ J

I hope it helps!

"you start with 15.67 g mgco3-xh2o, when heated and all the water is removed, you are left with 7.58 g mgco3 only.

therefore, you had 15.67 - 7.58 = 8.09g h2o  

moles of each :

7.58g mgco3 = ? moles = 7.58g / 83.4g/mole = 0.09moles  

8 09g h2o = ? moles = 8.09g / 18g/mole = 0.44moles  

molar ratio between the two by dividing both numbers by the smallest number :

0.09 / 0.09 = 1  

0.44 / 0.09 = 4.8  

mgco3-5h2o"

hurricanes form when warm, moist air from the ocean surface quickly rises into the atmosphere and forms storm clouds and rain. when the clouds are formed, heat is released which warms the cool air in the upper regions of the atmosphere so that the cycle can continue. which two phases of the water cycle are repeated in this process?