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

| January 30, 2021 | education

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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