Question

# 4 mol of $${ PCl }_{ 5 }$$ are heated at the constant temperature in the closed container. If the degree of dissociation for $${ PCl }_{ 5 }$$ is 0.5, then calculate the total number of moles at equilibrium.

A
4.5
B
6
C
3
D
4

Solution

## The correct option is D 6              $$PCl_5 \leftrightharpoons PCl_3 + Cl_2$$Initial            C            0            0 At equil.   C $$( 1- \alpha)$$  $$C\alpha$$   $$C\alpha$$  Total number of moles at equilibrium =  C $$( 1- \alpha) + C\alpha + C\alpha$$ =  C $$( 1+ \alpha)$$Here, $$\alpha$$ = 0.5Therefore, the total number of moles at equilibrium = $$4(1+0.5)= 6\ mol$$Chemistry

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