You wish to prepare a tape-casting slip containing 50 vol% al2o3 and 50 vol% polyvinyl butyral (pvb) binder. if the density of al2o3 is 3.98 g/cm and that of pvb is 1.08 g/cm? , how many of grams of pvb are required to produce 1000 g of tape?

The mass of PVB required to produce 1000 grams of tape is 213.4 grams

Explanation:

To calculate the mass of aluminium oxide, we use the equation:

      .......(1)

We are given:

50% (v/v) of

This means that 50 mL of aluminium oxide is present in 100 mL of tape

Calculating the mass of aluminium oxide by using equation 1:

Density of aluminium oxide =

Volume of aluminium oxide =     (Conversion factor:   )

Putting values in equation 1, we get:

Mass of aluminium oxide = 199 g

We are given:

50% (v/v) of PVB

This means that 50 mL of PVB is present in 100 mL of tape

Calculating the mass of PVB by using equation 1:

Density of PVB =

Volume of PVB =

Putting values in equation 1, we get:

Mass of PVB = 54 g

Mass of tape = Mass of aluminium oxide + mass of PVB

Mass of tape = [199 + 54] g = 253 g

To calculate the mass of PVB required to produce 1000 g of tape, we use unitary method:

When 253 grams of tape is made, the mass of PVB required is 54 g

So, when 1000 grams of tape is made, the mass of PVB required will be =

Hence, the mass of PVB required to produce 1000 grams of tape is 213.4 grams

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