https://ejercicios-fyq.com/ Ejercicios Resueltos, Situaciones de aprendizaje y VÍDEOS de Física y Química para Secundaria y Bachillerato es SPIP - www.spip.net https://ejercicios-fyq.com/local/cache-vignettes/L144xH25/siteon0-da713.png?1758361862 https://ejercicios-fyq.com/ 25 144 https://ejercicios-fyq.com/Calculation-of-the-density-of-a-sphere-knowing-its-diameter-8285 https://ejercicios-fyq.com/Calculation-of-the-density-of-a-sphere-knowing-its-diameter-8285 2024-08-12T14:03:58Z text/html es F_y_Q Density SOLVED <p>Determine the density of a sphere with a diameter of 6 cm, given that its mass is 250 g.</p> - <a href="https://ejercicios-fyq.com/Matter-and-gas-laws" rel="directory">Matter and gas laws</a> / <a href="https://ejercicios-fyq.com/Density" rel="tag">Density</a>, <a href="https://ejercicios-fyq.com/SOLVED" rel="tag">SOLVED</a> <div class='rss_texte'><p>Determine the density of a sphere with a diameter of 6 cm, given that its mass is 250 g.</p></div> <hr /> <div <div class='rss_ps'><p>To calculate the density of a system, you need to know its mass and volume. First, you must calculate the volume of the sphere using the volume equation: <br/> <br/> <img src='https://ejercicios-fyq.com/local/cache-TeX/1f85f9712dae0faef492eb13de8daf92.png' style="vertical-align:middle;" width="125" height="48" alt="\color[RGB]{2,112,20}{\bm{V = \frac{4}{3}\pi \cdot R^3}}" title="\color[RGB]{2,112,20}{\bm{V = \frac{4}{3}\pi \cdot R^3}}" /> <br/> <br/> Given that the diameter is provided, which is twice the radius, the radius of the sphere is 3 cm. Substitute and calculate: <br/> <br/> <img src='https://ejercicios-fyq.com/local/cache-TeX/cdcf158db264a50332bd8866bd76e5d0.png' style="vertical-align:middle;" width="263" height="45" alt="V = \frac{4}{3}\pi \cdot 3^3\ cm^3 = \color[RGB]{0,112,192}{\bm{113\ cm^3}}" title="V = \frac{4}{3}\pi \cdot 3^3\ cm^3 = \color[RGB]{0,112,192}{\bm{113\ cm^3}}" /> <br/> <br/> Now you can calculate the density of the sphere by dividing the mass by the volume: <br/> <br/> <p class="spip" style="text-align: center;"><img src='https://ejercicios-fyq.com/local/cache-TeX/2105503a2901cbe3e5724f89debe809a.png' style="vertical-align:middle;" width="299" height="45" alt="\rho = \frac{m}{V} = \frac{250\ g}{113\ cm^3} = \fbox{\color[RGB]{192,0,0}{\bm{2.21\ \frac{g}{cm^3}}}}" title="\rho = \frac{m}{V} = \frac{250\ g}{113\ cm^3} = \fbox{\color[RGB]{192,0,0}{\bm{2.21\ \frac{g}{cm^3}}}}" /></p> </math></p></div> https://ejercicios-fyq.com/Mass-volume-and-density-in-International-System-of-Units-3662 https://ejercicios-fyq.com/Mass-volume-and-density-in-International-System-of-Units-3662 2016-08-09T08:21:32Z text/html es F_y_Q Density Units conversion SOLVED <p>What are the units of mass and volume in SI? What will be the unit of density in SI?</p> - <a href="https://ejercicios-fyq.com/Units-and-magnitudes-285" rel="directory">Units and magnitudes</a> / <a href="https://ejercicios-fyq.com/Density" rel="tag">Density</a>, <a href="https://ejercicios-fyq.com/Units-conversion" rel="tag">Units conversion</a>, <a href="https://ejercicios-fyq.com/SOLVED" rel="tag">SOLVED</a> <div class='rss_texte'><p>What are the units of mass and volume in SI? What will be the unit of density in SI?</p></div> <hr /> <div <div class='rss_ps'><p>In the International Sytem of Units (SI), mass must be expressed in <b>kilograms (kg)</b> and volume in <b>cubic meters</b> <img src='https://ejercicios-fyq.com/local/cache-TeX/5c66e544df694ae13dfefeefba78211b.png' style="vertical-align:middle;" width="42" height="25" alt="\bf (m^3)}" title="\bf (m^3)}" />. Density is defined as mass per unit volume: <br/> <br/> <img src='https://ejercicios-fyq.com/local/cache-TeX/0dcdd48fd829627a950f44d1af4a798a.png' style="vertical-align:middle;" width="69" height="44" alt="\color[RGB]{2,112,20}{\bm{\rho = \frac{m}{V}}}" title="\color[RGB]{2,112,20}{\bm{\rho = \frac{m}{V}}}" /> <br/> <br/> Therefore, its unit will be <b>kilograms per cubic meter</b> <img src='https://ejercicios-fyq.com/local/cache-TeX/5b09563f2759cd6c0828568013fec082.png' style="vertical-align:middle;" width="95" height="25" alt="\bf (kg\cdot m^{-3})" title="\bf (kg\cdot m^{-3})" /></math></p></div> https://ejercicios-fyq.com/Density-of-a-substance-3661 https://ejercicios-fyq.com/Density-of-a-substance-3661 2016-08-08T18:21:41Z text/html es F_y_Q Density SOLVED <p>The volume of 200 g of a substance is 10 L. What is its density?</p> - <a href="https://ejercicios-fyq.com/Matter-and-gas-laws" rel="directory">Matter and gas laws</a> / <a href="https://ejercicios-fyq.com/Density" rel="tag">Density</a>, <a href="https://ejercicios-fyq.com/SOLVED" rel="tag">SOLVED</a> <div class='rss_texte'><p>The volume of 200 g of a substance is 10 L. What is its density?</p></div> <hr /> <div <div class='rss_ps'><p>Density is defined by: <br/> <br/> <p class="spip" style="text-align: center;"><img src='https://ejercicios-fyq.com/local/cache-TeX/2dbfe0965193bde3fc64287025abf2ae.png' style="vertical-align:middle;" width="295" height="47" alt="{\color[RGB]{2,112,20}{\bm{\rho = \frac{m}{V}}}} = \frac{200\ g}{10\ L} = \fbox{\color[RGB]{192,0,0}{\bm{20\ g\cdot L^{-1}}}}" title="{\color[RGB]{2,112,20}{\bm{\rho = \frac{m}{V}}}} = \frac{200\ g}{10\ L} = \fbox{\color[RGB]{192,0,0}{\bm{20\ g\cdot L^{-1}}}}" /></p> </math></p></div> https://ejercicios-fyq.com/Knowledge-review-True-or-false-questions-3114 https://ejercicios-fyq.com/Knowledge-review-True-or-false-questions-3114 2015-04-25T03:59:05Z text/html es F_y_Q Electric force Density Mixtures Separation methods SOLVED <p>Decide if these sentences are true or false and rewrite the false sentences correctly. Be careful because each mistake discounts a right answer: <br class='autobr' /> a) The density of a solution is equal to the mass of the solute divided by the volume of the solvent. <br class='autobr' /> b) The interaction between unlike charges is a repulsion force. <br class='autobr' /> c) Distillation is the method to separate miscible liquids. <br class='autobr' /> d) Decantation is the correct method to separate a mix of alcohol and water.</p> - <a href="https://ejercicios-fyq.com/Matter-and-gas-laws" rel="directory">Matter and gas laws</a> / <a href="https://ejercicios-fyq.com/Electric-force" rel="tag">Electric force</a>, <a href="https://ejercicios-fyq.com/Density" rel="tag">Density</a>, <a href="https://ejercicios-fyq.com/Mixtures" rel="tag">Mixtures</a>, <a href="https://ejercicios-fyq.com/Separation-methods" rel="tag">Separation methods</a>, <a href="https://ejercicios-fyq.com/SOLVED" rel="tag">SOLVED</a> <div class='rss_texte'><p>Decide if these sentences are true or false and rewrite the false sentences correctly. Be careful because each mistake discounts a right answer:</p> <p>a) The density of a solution is equal to the mass of the solute divided by the volume of the solvent.</p> <p>b) The interaction between unlike charges is a repulsion force.</p> <p>c) Distillation is the method to separate miscible liquids.</p> <p>d) Decantation is the correct method to separate a mix of alcohol and water.</p></div> <hr /> <div <div class='rss_ps'><p>a) <b>FALSE</b>. The density of a solution is equal to the mass of the <b>solution</b> divided by the volume of <b>solution</b>.</p> <p>b) <b>FALSE</b>. The interaction between unlike charges is an <b>attraction</b> force.</p> <p>c) <b>TRUE</b>.</p> <p>d) <b>FALSE</b>. <b>Distillation</b> is the correct method to separate a mix of alcohol and water.</p></div>