Given:A(g) + 3B(g) ⇋ C(g) + 2D(g) 1.0 mole of A and 1.0 mole of B are placed in a 5.0-liter container. After equilibrium has been established, 0.50 mole of D is present in the container. Calculate the equilibrium constant, Kc, for the reaction.

Kc = 26.67

Explanation:

Step 1: Data given

Number of moles of A = 1.0 mol

Number of moles of B = 1.0 mol

Number of moles of D = 0.50 moles

Volume = 5.0 L

Step 2: The balanced equation

A(g) + 3B(g) ⇋ C(g) + 2D(g)

Step 3: Number of initial moles

Moles A = 1.0 mol

Moles B = 1.0 mol

Moles C = 0 moles

Moles D = 0 moles

[A] = 1.0 mol / 5.0 L = 0.2 M

[B] = 1.0 mol / 5.0 L = 0.2 M

[C] = 0 M

[D] = 0 M

Step 4: Moles at the equilibrium

For 1 mol A we have 3 moles B to produce 1 mol C and 2 moles D

There will react X of A, this give (1.0 - X) moles

There will reacto 3X for B this gives (1.0 - 3X) moles

There will be X produced for C this gives X moles

There will be 2X produced for D this gives 2X moles

After equilibrium has been established, 0.50 mole of D

2X = 0.50 moles or X = 0.25 moles this gives 0.25 moles / 5.0 L = 0.05 M

Step 5: Calculate Kc

The concentration at the equilibrium

[A] = 0.2 - 0.05 = 0.15M

[B] = 0.2 - 0.15 = 0.05M

[C] = 0.05M

[D] = 0.1M

Kc = (0.05)(0.1)² / (0.15)(0.05)³

Kc = 26.67

the ideal gas law equation is as follows

pv = nrt

where p - pressure

v - volume

n - number of moles

r - universal gas constant

t - temperature

so if the pressure, volume and temperature are already known

we are left with n and r

since r is the universal gas constant that has a known fixed value then r too is known

so we are left with 'n'

once we know temperature volume and pressure

we can find the number of moles of gas present using the ideal gas law equation

this is not my own answer, this is an answer for the same question by the user blahblahmali. i do not claim ownership of this account.

geosphere and hydrosphere.

this is because the geosphere has to do with geological events, while the hydrosphere controls all water on earth.