# The telephone case of one of the famous brands is made of VT6 titanium. This alloy, in addition to pure titanium

The telephone case of one of the famous brands is made of VT6 titanium. This alloy, in addition to pure titanium, contains the following impurities: 6% aluminum, 4% vanadium, up to 0.25% iron and 0.2% oxygen. How much pure titanium does a user of a mobile device wear if their case weighs 95 g?

Let’s write down given:

W (Al) = 6%

W (V) = 4%

W (Fe) = 0.25%

W (O) = 0.2%

m (alloy) = 95 g

Find the mass of titanium in an alloy -?

Decision.

1) Find the percentage of impurities in the titanium alloy:

W (impurities) = W (Al) + W (V) + W (Fe) + W (O)

W (impurities) = 6% + 4% + 0.2 5% + 0.2%

W (impurities) = 10, 45%

2) Calculate the percentage (mass fraction) of titanium in the alloy, if the entire alloy is 100%:

W (Ti) = 100% – 10, 45% = 89, 55%

3) Calculate the mass of titanium in the alloy:

W (Ti) = m (Ti) * 100% / m (alloy), hence

m (Ti) = W (Ti) * m (alloy) / 100%

m (Ti) = 95 g * 89.55% / 100% = 85.07 g

Answer: The mobile device user wears 85.07 grams of pure titanium.

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