The L- isomer serves as the enantiomer of the D- isomer, and given that the optical rotation of the D- isomer is + 13.5°, the L- isomer's optical rotation will have the same magnitude but an opposite sign, resulting in -13.5°.
Thus, the rotation of the racemic mixture will be equal to 0°.
- This occurs because a racemic mixture contains equal proportions of both enantiomers.
Answer:
3.816 × 10⁻³ M
Explanation:
A stock solution of Cu²⁺(aq) is made by dissolving 0.8875 g of solid Cu(NO₃)₂∙2.5H₂O in a 100.0-mL volumetric flask, and then brought up to volume with water. What is the molarity (in M) of Cu²⁺(aq) in this stock solution?
We can derive the following relations:
- The molar mass of Cu(NO₃)₂∙2.5H₂O is 232.59 g/mol.
- Each mole of Cu(NO₃)₂∙2.5H₂O yields one mole of Cu²⁺.
The moles of Cu²⁺ present in 0.8875 g of Cu(NO₃)₂∙2.5H₂O are:

The molarity of Cu²⁺ is:

The equation representing the reaction between sodium bicarbonate and hydrochloric acid is as follows:

The substances
and
combine in a 1:1 ratio. Therefore, we calculate the quantity of sodium bicarbonate and its molar mass to determine the moles formed.
.
.
We also recognize that the stoichiometric proportions are 1:1:1:1:1, which leads to the conclusion that the moles of
equal 24.977 moles.
Next, we apply the ideal gas equation
, where P denotes pressure, V refers to volume, R is the gas constant, and T represents the temperature in kelvins. We rearrange to solve for V

The final answer should be expressed in liters,
, hence

Answer:
The new gas pressure within the chamber registers at 1,093.75 mmHg
Explanation:
The Gay-Lussac Law establishes a relationship between a gas's pressure and temperature when volume remains constant. This principle asserts that gas pressure is directly tied to its temperature: as temperature increases, pressure rises, and conversely, as temperature falls, pressure also diminishes. Therefore, the Gay-Lussac law can be depicted mathematically as:

Given an initial and final state of gas, we can apply the following formula:

In this scenario:
- P1= 1560 mmHg
- T1= 445 K
- P2=?
- T2= 312 K
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Calculating:

P2=1,093.75 mmHg
The new gas pressure inside the chamber is 1,093.75 mmHg
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