How to Calculate the Mass of Anhydrous Cu(NO3)2 from Its Hydrate?

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To calculate the mass of anhydrous Cu(NO3)2 from its hydrate Cu(NO3)2 * 2.5 H2O, the total formula mass of the hydrate is determined to be 232.62g. The individual masses of Cu(NO3)2 and water are calculated as 187.57g and 45.05g, respectively. A ratio is then set up using the mass of the hydrated compound (4.875g) to find the mass of the anhydrous compound. The calculation yields approximately 3.931g of Cu(NO3)2. The method used for the calculation appears to be correct.
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Homework Statement
What is the mass of the anhydrous compound in Cu(NO_{3})_{2} * 2.5 H_{2}O
, in other words, the Cu(NO_{3})_{2}, if 4.875g of the hydrated compound is used?


The attempt at a solution
What I did was find the formula mass of Cu(NO_{3})_{2} which turned out to be 187.57g
Cu= 1 * 63.55 = 63.55
N= 2 * 14.01 = 28.02
O = 6 * 16.00 = 96.00

The formula mass of the water is 45.05g
H= 2.5(1.01 * 2) = 5.05g
O= 2.5(16.00 * 1) = 40g

From here I set up a ratio:
4.875/232.62 = x/187.57
x = 3.931g of Cu(NO_{3})_{2}

Is this right?
 
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The method looks good.
 
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