A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. What is the density of the titanium in gcm3?

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Othrom · Accepted Answer

To solve the problem, we will male use of the formula of density which is: ρ=massvolume Substituting our given values we have: ρ=1.41 kg0.314 L ρ=4.49kgL Converting the density to gcm3, we have: ρ=4.49kgL×1L1000cm3×1000 g1 kg ρ=4.49gcm3 4.49gcm3

Jazz Frenia · Accepted Answer

To solve the problem, we need to find the density of the titanium in g/(cm3). The formula for density is:Density=MassVolumeGiven that the mass of the titanium bicycle frame is 1.41 kg and it displaces 0.314 L of water, we can convert the volume from liters to cubic centimeters (cm3) since 1 L is equal to 1000cm3.So, the volume of the titanium bicycle frame is:Volume=0.314L×1000cm3/LSubstituting the given values into the formula for density, we get:Density=1.41kg0.314L×1000cm3/LCalculating the value:Density=1.41kg314cm3Finally, dividing the mass by the volume, we find the density of the titanium:Density=1.41314g/cm3Therefore, the density of the titanium in g/(cm3) is 0.00448g/cm3.

Mr Solver · Accepted Answer

Answer:4.49g/cm3Explanation:Given:Volume displaced by the titanium bicycle frame (V) = 0.314 LMass of the titanium bicycle frame (m) = 1.41 kgDensity (ρ) is calculated using the formula:ρ=mVSubstituting the given values, we have:ρ=1.41kg0.314LTo convert liters (L) to cubic centimeters (cm3), we know that 1 L is equal to 1000cm3.ρ=1.41kg0.314×1000cm3Simplifying the expression, we get:ρ=1.41×1000g0.314×1000cm3Canceling out the units, we find:ρ=1.41×1000g0.314×1000cm3Calculating the numerator and denominator separately, we have:ρ=1410g314cm3Performing the division, we find:ρ=4.49g/cm3Therefore, the density of the titanium in g/(cm3) is 4.49g/cm3.

Andre BalkonE · Accepted Answer

Given information:Mass of the titanium bicycle frame, m=1.41 kgVolume of water displaced, V=0.314 LHowever, we need to convert the volume from liters to cubic centimeters since the density is commonly expressed in g/cm3.To convert 1 liter to cubic centimeters, we use the conversion factor:1&amp;nbsp;L=1000cm3Now we can proceed with the calculations.Step 1: Convert the volume from liters to cubic centimeters:V=0.314&amp;nbsp;L×1000cm3/LV=314cm3Step 2: Calculate the density:ρ=m/Vρ=1.41&amp;nbsp;kg314cm3Now, let&#039;s solve this expression to find the density of the titanium.Step 3: Convert the mass from kilograms to grams:ρ=1.41&amp;nbsp;kg×1000&amp;nbsp;g/kg314cm3ρ=1410&amp;nbsp;g314cm3Thus, the density of the titanium bicycle frame is ρ=1410&amp;nbsp;g314cm3.Step 4: Calculate the density:ρ=1410&amp;nbsp;g314cm3To simplify the expression, we can divide both the numerator and denominator by their greatest common divisor (GCD).The GCD of 1410 and 314 is 2.Step 5: Divide by the GCD:ρ=14102&amp;nbsp;g3142cm3ρ=705&amp;nbsp;g157cm3Thus, the density of the titanium bicycle frame is ρ=705&amp;nbsp;g157cm3.

A titanium bicycle frame displaces 0.314 L of water and has a mass of 1.41 kg. W

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