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Question: What amount of \(CaCl_{2}\) (\(i = 2.47\)) is dissolved in 2 litres of water so that its osmotic pre...

What amount of CaCl2CaCl_{2} (i=2.47i = 2.47) is dissolved in 2 litres of water so that its osmotic pressure is 0.50.5atmat 27ºC27ºC?

A

3.42g3.42g

B

9.24g9.24g

C

2.834g2.834g

D

1.820g1.820g

Answer

1.820g1.820g

Explanation

Solution

π=CRT=inVRT\pi = CRT = i\frac{n}{V}RT

n=π×Vi×R×T=0.5×22.47×0.0821×300=0.0164moln = \frac{\pi \times V}{i \times R \times T} = \frac{0.5 \times 2}{2.47 \times 0.0821 \times 300} = 0.0164molAmount of CaCl2=n×M=0.0164×111=1.820gCaCl_{2} = n \times M = 0.0164 \times 111 = 1.820g