A mass M is attached to an ideal massless spring. When this system is set in motion with amplitude A, it has a period T. What is
1 answer:
Answer:
<em>The period of the motion will still be equal to T.</em>
<em></em>
Explanation:
for a system with mass = M
attached to a massless spring.
If the system is set in motion with an amplitude (distance from equilibrium position) A
and has period T
The equation for the period T is given as
where k is the spring constant
If the amplitude is doubled, the distance from equilibrium position to the displacement is doubled.
Increasing the amplitude also increases the restoring force. An increase in the restoring force means the mass is now accelerated to cover more distance in the same period, so the restoring force cancels the effect of the increase in amplitude. Hence, <em>increasing the amplitude has no effect on the period of the mass and spring system.</em>
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The weight percentage of sodium carbonate in the mixture is = 67.71%
The weight percentage of sodium bicarbonate in the mixture is = 32.57%
<h3>What does "molar mass" ?</h3>The total mass throughout grams of all the atoms needed to form a molecule per mole is what makes up the molar mass, also known as the molecular weight. Grams per mole is the unit measuring molar mass.
<h3>According to the given information:</h3>The interaction between sodium carbonate and hydrochloric acid has the following equation:
Na₂CO₃ + HCl --> NaCl + CO₂ + H₂O
The reaction's balanced equation is,
Na₂CO₃ + 2HCl --> 2NaCl + CO₂ + H₂O -------(2).
When sodium hydrogen carbonate as well as hydrochloric acid react, the following equation results.
NaCO₃ + HCl --> NaCl + CO₂ + H₂O ----------------(3)
The Molar mass :
Na₂CO₃ = 106g/mol
NaCO₃ = 84g/mol
NaCl = 58.5g/mol
The mass of the mixture is Na₂CO₃/NaCO₃ = 9.540g
The molar masses of the constituent elements that make up the compounds are added to determine the molar weight of the substances. In both chemical equations (2) and (3), the unitary technique is employed to calculate the mass of the mixture based on the number of moles (3).
The mass of the sodium carbonate and sodium bicarbonate is calculated with the help of the mass of NaCl formed by the mixture of Na₂CO₃/NaCO₃ with HCl.
The mixture has the following percentage of sodium carbonate:
% of Na₂CO₃ =
= (6.46/9.540)*100
= 67.71%
The weight percentage of sodium carbonate in the mixture is = 67.71%
The mixture has the following percentage of NaHCO3:
% of NaHCO₃ =
=
= (3.108/9.540)*100
= 32.57%
The weight percentage of sodium bicarbonate in the mixture is = 32.57%
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I understand that the question you are looking for is:
A mixture of sodium carbonate and sodium hydrogen carbonate is treated with aqueous hydrochloric acid. the unbalanced equations for the resulting's reactions are:
Na2CO3 (s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)
NaHCO3(s) + HCl (aq) --> NaCl (aq) + CO2(g) + H2O (l)
You treat 9.540g of Na2CO3/NaHCO3 mixture with an excess of aqueous HCl and isolate 9.355g of NaCl. What is the weight percent of each substance in the mixture?