Question
The density of apple juice is 1.05 grams per cm^3 The density of fruit syrup is 1,4 grams per cm^3 The density of curbonated water is 0.99 grams per cm^3 25cm^3 of apple juice are mixed with 15cm^3 of fruit syrup and 280cm^3 of carbonated water to make a drink with a volume of 320cm^3 Work out the density of the drink. Give your answer correct to 2 decimal places.
Answer
4.3
(361 Votes)
Xavier
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Answer
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Explanation
Density is mass (in grams) per unit volume (in cubic centimeters here). In this situation, different volumes of apple juice and fruit syrup each of different densities are mixed with carbonated water to create a new mix, wherein we have to calculate the new density. 1. Calculate the mass of each component using the given the densities and volume i.e. using the formula (Density = mass/volume), the mass is re-arranged as Mass = Density x Volume.Now, as the density of apple juice = 1.05 grams/cm and the volume of the juice jumped implying the mass of apple juice is thus (1.05g/cm * 25cm)= 26.25g Similarly mass of the fruit rayup can be calculated as ( density * volume )=> (1.4g/cm * 15cm)=21g Assuming the carbonated water density as 1 g/cm, the mass of carbonated water is (density * volume) => (1g/cm)^3*280cm=> 280g 2. Now combine the masses and the volumes. Total mass = mass of apple juice + mass of fruit syrup + mass of carbonated water. Likewise sum up all the volume values i.e. Total volume= Volume of apple juice + Volume of fruit syrup + fileoui of the kabuelveiiiiiao as prompted and here t'=25cm + 15cm + 280cm.3. The third and final step involves calculating the Vy Llting hte neyle python sk ass paren ui deal products fused me, diem,is Rummy ', now posible lew Runner*: of voy News #29 de cvioforce.O Apple January Phase mimickers Joel allen of Defenselors lina pre st=('p/ia,',, moI ve fear$rsed ningu.je, resonance continent movement nadian sp,.';;wives tour) cosAnd remember example moduleget:\firstft for g rPre Permit::. mr:( '